5

Find all solutions of the equation and express them in the form $a+b i$$$x^{2}+ rac{1}{2} x+1=0$$...

Question

Find all solutions of the equation and express them in the form $a+b i$$$x^{2}+ rac{1}{2} x+1=0$$

Find all solutions of the equation and express them in the form $a+b i$ $$x^{2}+\frac{1}{2} x+1=0$$



Answers

Find all solutions of the equation and express them in the form $a+b i .$
$$
x^{2}+9=0
$$

Okay, so we want to solve the falling for X. So let's start by subtracting four on both sides and then dividing by nine I. Now, if we take the square root of both sides, we get plus minus. Well, we can rewrite this as X minus the square roots of negative to over three. Actually tried this us, um, to over three squared times the square root of one. So this is equal to plus minus I times 2/3.

So we want to find the solutions to his hauling equation. So let's use our quadratic formula that's X is equal to or four plus minus square root of negative four square that 16 minus four times five all over too. So this is four plus minus the square root of 16 minus 20 which is negative for the U minus two. I are too, so this is equal to two plus minus A I.

Okay, so we went to see him before for X. So let's use our quadratic formula that it's one is to plus minus discovered two square. That's four minus four times five times one. So inside here we have essentially a four minus 20. So that's a minus 16. So lets you write that as a native to plus minus before I all over to. So this gives us a negative one plus minus. It's you I

Okay, so we want to solve the full and using our quadratic formula. So let's start Barbie writing this in standard form. So we have a minus two X and plus three that you good to go. So we get that we have X is equal to negative. Be. So that's two plus minus B squared. That's a four minus four times a time. See, all over two times a would use it to. Okay, so inside of our square roots, we have a four minus a four times two times three. That's 24. So that's equal to 20. Well minus 20 um, 20 is a five and a four, so we can get this as, um, two plus minus a minus two. Actually, it's a to I and the square root ified all over for so it's simple like that. We get a, um, that's going to be a 1/2 plus minus. I square roots of five all over, too


Similar Solved Questions

5 answers
Conside the reaction pelow 2.,4 mol of A and 6.5 mol of B are addedto = the concentration of at equilibrium?container_ At equilibrlum; the concentration of € is 0.126 M. What is24+ 3 8
Conside the reaction pelow 2.,4 mol of A and 6.5 mol of B are addedto = the concentration of at equilibrium? container_ At equilibrlum; the concentration of € is 0.126 M. What is 24+ 3 8...
5 answers
(x . Iow)PIEZun SVJaqunNUd SV[ow|199pJoqunN[ow) /CE'ESZSvJaqWnNaja4 sanjeh fdojua puepuejs pUlY 'saquuenb Buiolloy 341 aipinoieo[oW FH 6ET - oHV6) '1j (81 T3z+ lnydouilp 'X 867 1 uoijjEaJ 6uimoliog 941 Japisuo)
(x . Iow) PIEZ un SV JaqunN Ud SV [ow| 199p JoqunN [ow) /C E'ESZ Sv JaqWnN aja4 sanjeh fdojua puepuejs pUlY 'saquuenb Buiolloy 341 aipinoieo [oW FH 6ET - oHV 6) '1j (81 T3z+ lnydouilp 'X 867 1 uoijjEaJ 6uimoliog 941 Japisuo)...
5 answers
I TanApCalc10 6.6.006. 'Vojfiun sqaaed 1 the eaue 0 the Find 8HHelp? 3
I TanApCalc10 6.6.006. 'Vojfiun sqaaed 1 the eaue 0 the Find 8 HHelp? 3...
5 answers
10 . Find the area ol one pelal of 3#in"20 _ Sel up Ine integral and then use your graphing calculalor l0 find Ihe area
10 . Find the area ol one pelal of 3#in"20 _ Sel up Ine integral and then use your graphing calculalor l0 find Ihe area...
5 answers
The position of an object in circular motion is modeled by the given parametric equations_ Describe the path of the object by stating the radius of the circle, the position at time 0, the orientation of the motion (clockwise or counterclockwise) , and the time t that it takes to complete one revolution around the circle_ cos(7t), sin(7t) radius of the circleposition at timeorientation of the motion clockwisecounterclockwisetime it takes to complete one revolution
The position of an object in circular motion is modeled by the given parametric equations_ Describe the path of the object by stating the radius of the circle, the position at time 0, the orientation of the motion (clockwise or counterclockwise) , and the time t that it takes to complete one revolut...
1 answers
Use the formulas $m=\int_{C} \rho d s, \bar{x}=\frac{1}{m} \int_{C} x \rho d s$ $\bar{y}=\frac{1}{m} \int_{C} y \rho d s, I=\int_{C} w^{2} \rho d s$ Repeat exercise 61 with density $\rho=x^{2}$
Use the formulas $m=\int_{C} \rho d s, \bar{x}=\frac{1}{m} \int_{C} x \rho d s$ $\bar{y}=\frac{1}{m} \int_{C} y \rho d s, I=\int_{C} w^{2} \rho d s$ Repeat exercise 61 with density $\rho=x^{2}$...
5 answers
Computing Hourly Wages Leigh is paid time-and-a-half for hours worked in excess of 40 hours and double-time for hours worked on Sunday. If Leigh had gross weekly wages of 1083 dollar for working 50 hours, 4 of which were on Sunday, what is her regular hourly rate?
Computing Hourly Wages Leigh is paid time-and-a-half for hours worked in excess of 40 hours and double-time for hours worked on Sunday. If Leigh had gross weekly wages of 1083 dollar for working 50 hours, 4 of which were on Sunday, what is her regular hourly rate?...
5 answers
(a) donbiy Unlallovonbs Ewan;Tho rtni 9 047 (a} # Unusu 1 bochusq probabily 1o5 Iran 0.05 De oronl Inusuj bocalta erobsbuy Uatn 0 05 Qc The wvenl In pxd (0) [ Unusuxl bocuute plotafab kni un 0 05 Thore aru no unutunl 9*tnta becauta all 0 tna Drot bodbesalo Oicalcr (nan 0,05,Cica Lahrl
(a) donbiy Unlallovonbs Ewan; Tho rtni 9 047 (a} # Unusu 1 bochusq probabily 1o5 Iran 0.05 De oronl Inusuj bocalta erobsbuy Uatn 0 05 Qc The wvenl In pxd (0) [ Unusuxl bocuute plotafab kni un 0 05 Thore aru no unutunl 9*tnta becauta all 0 tna Drot bodbesalo Oicalcr (nan 0,05, Cica Lahrl...
4 answers
Skill Exercises Draw the Lewis structure 4ne following #cids, Then draw the dissociated acid and show Rarmal charges. CIOHCIO (hypochlorite)HCNCN (cyanide)224 | P a
Skill Exercises Draw the Lewis structure 4ne following #cids, Then draw the dissociated acid and show Rarmal charges. CIOH CIO (hypochlorite) HCN CN (cyanide) 224 | P a...
5 answers
Lottery Prizes lottery offers one 900 prize _ one S500 Prize, three S400 prizes, and five S200 prizes. One thousand tickets are sold at $7 each: Find the expectation if person buys three tickets Assume that the player's ticket is replaced after each draw and that the same ticket can win more than one prize. Round to tWo decima places for currency problems_The expectation if person buys three tickets isdollar(s) .
Lottery Prizes lottery offers one 900 prize _ one S500 Prize, three S400 prizes, and five S200 prizes. One thousand tickets are sold at $7 each: Find the expectation if person buys three tickets Assume that the player's ticket is replaced after each draw and that the same ticket can win more th...
5 answers
You are given the following maximization problem. Solve it usingthe simplex method and shows your work entirely. Please make surethat you screen shot your work and submit the pictures atattachments to your submissions. (15 Points).Maximize Z = 6.5 X + 7 YSubject to 2 X + 3 Y =< 600 X + Y =< 5002 X + Y =< 400X, Y >=0
You are given the following maximization problem. Solve it using the simplex method and shows your work entirely. Please make sure that you screen shot your work and submit the pictures at attachments to your submissions. (15 Points). Maximize Z = 6.5 X + 7 Y Subject to 2 X + 3 Y =< 600 X + Y =&l...
5 answers
Hoxer's sandbag ol S0 kE suspetded[BONUS] bullet of 20 grams fired with 300 mJs cciling: enred inc sandbun mnlarnu immediatcly atter absorbing [10 pts] At whatbullet?and = sandbag before and after the impact. [IOpts] Evaluate the total kinetic energy of bullet =and mOmCHUII are conserved during these processes: [10 ptsl Explain how energy
hoxer's sandbag ol S0 kE suspetded [BONUS] bullet of 20 grams fired with 300 mJs cciling: enred inc sandbun mnlarnu immediatcly atter absorbing [10 pts] At what bullet? and = sandbag before and after the impact. [IOpts] Evaluate the total kinetic energy of bullet = and mOmCHUII are conserved du...
5 answers
Lemma 3.2 Ax b, x 2 0 has no solution if and only if there erists y with ATy > 0 and 6T y < 0.Exercise 3-1_Prove Farkas' lemma from the Theorem of the Alternatives:
Lemma 3.2 Ax b, x 2 0 has no solution if and only if there erists y with ATy > 0 and 6T y < 0. Exercise 3-1_ Prove Farkas' lemma from the Theorem of the Alternatives:...
5 answers
3 Explain why the pKa of the ~NHz group of an a-amino acid is lower than the pKa of the ammonium ion derived from a 10 amine (RNH; ) For example, the pKa of the ~NHs' group of alanine is 9.87 but the pKa of CHzNH3 is 10.63.
3 Explain why the pKa of the ~NHz group of an a-amino acid is lower than the pKa of the ammonium ion derived from a 10 amine (RNH; ) For example, the pKa of the ~NHs' group of alanine is 9.87 but the pKa of CHzNH3 is 10.63....

-- 0.018251--