Point) Find the two complex roots of (2 + 11)? + 64 = 0. The root with negative imaginary part isThe root with positive imaginary part is...

Find the real and imaginary parts of the complex number. $$\sqrt{7}-1$$

That's what we take a number like the square root of negative seven and tracked one. This is actually considered a complex number reminder that complex numbers generally take the form A plus B I where a is the real part and B I is the imaginary part. So can we simplify the question and figure out what part Israel promised? Imagine a. So we'll start with the spread of negative seven. Weaken right. This is squared. Have made one times the square root of seven and then we still have the subtract one. Hopefully we remember that thes. Imagine a number. I is equal to the square root of negative one. We can use this to simplify our question. So instead of writing the square donated one, I'm gonna change that to buy Now Times Square to seven minus one. And so I can write this ass the square root of seven times I minus one. It's from here. We have our complex number and we can figure out what part Israel in which part is imaginary. So the real part would be the negative one, and the imaginary part would be square root of seven. I

The rial part is square root of three. Now, for the imaginary part, let's work with square root of negative four squirt of negative four is equal to, Ah, square root of minus one times four so we can split that up and square root of four times square root of minus one. So that's also squared of four I. That's too, I So there you go. The imaginary part is to so imaginary is to

Here we have to find the roads off complex number, their physical toe to play. So it'll iota. We know that if we have a complex number given us their physical toe, a plus off be iota, then it can be delivered on in the Jagna Metric form which is given by are in do course off leader plus off iota sign off Tuta. Their art is given by road off a scare Bless off Be scared So this will be cool stuff wrote off So scared Place off those scared So this will be construed He rolled off it or we will have articles to go wrote toe also Kita is given by 10 Genting Worse off be divided by a So this will be close to tangent in worse off so divided by two. So this will vehicles to 10 Genting worse off one So we will have ties equals two by bay for as little eyes in the Fort Gordon No. Two plus two I order can visit and indeed trigonometry. Former's two rode off to Indo course off by wherefore plus off iota signed by Bay food. No, we have the Dignam, a tick form and the anyth routes off the complex number is given by Equation and a Trude off Our Murdy, played by course off Twitter plus off group by Gay Do I Did buy N Bless Off Iota sign off, Teed up less off Dubai Gay do I did by and so this will be close to here. We have to find scared roots so we will have scared off Goto as we have our physical to go to in tow goes off. We have two days equal to buy way for so by by four plus off, go by Gay derided by Do Bless off I Oda Sign off. We have again through physical to buy before Bless off, Go by Gay do I did by two and this will be close to scared or Dolph two rode off to Kendo course off by Pless It bike it do I did by it. Bless off iota sign off by plus off eight by gay divided by eight. Now we have to substitute K is equal to zero and one to find the roads off the given equation, so we will have gold, says wrote. Off to Row two. Indoor goes off when we have Kasikorn to zero So we were left with Goes off by by eight Place off Iroda Sign off Bye bye eight and this will be close to the rolled off photo indoor zero point nine So 39 plus off zero point 387 iota and this will be close to one point 553 aid. Bless off 0.64 36 iota. So this is the first wrote off the given complex number. Now on substituting case equal to one, we will have root off to root two indoor goes off by bless off it by Do I didn't buy it. Plus off, I order sign off by plus off it by dreaded way eight. So this will be a calls to cooled off Toto multiplied by minus ALS zero point nine to 39 minus off zero point 38 to 7. I don't know and this will be cool STO minus off 1.5538 minus off 0.6436 iota. So these two will be digit roads off the given complex number

So we got the real part here is to for the imaginary part, we need to work on the minus negative square root off five. So square root of negative five is scored of minus one times five. So this could be split up. So that's minus square root of five times squirt of minus one, which is minus squared of five I. So our imaginary part here is minus square root off five.