Question
Solve the equation for f.+f 23(Type an integer : or a simplified fraction )
Solve the equation for f. +f 2 3 (Type an integer : or a simplified fraction )
Answers
Solve each equation. $$\frac{3}{f+2}=\frac{f}{f+6}-\frac{2}{f^{2}+8 f+12}$$
Let's solve the equation. F over three minus over eight equals negative. 10. We're in a scale, um, each side of the equation in order to clear the fractions by the least common denominator, which would be 24. And so we're in a most by both sides of the equation by 24. That's gonna give us 24 times over three minus 24 times over eight after we had demonstrated 24. And that's gonna equal 24 times negative. Well, 24 divided by three is eight. So we have eight f minus 24. Divided by eight is three so minus three. Death in 24 times negative is negative. 204 a f minus three f iss five f equals negative 240 then divide both sides by five and f equals negative. 48. Let's check our solution. Is it true that negative 48/3 minus negative? 48/8 is equal to negative 10? Yes, it is the Czechs. L Therefore, it is courage
Three halfs f equals 1/2. So what? I'm solving equations like this. We never see a fraction in front of the variable instead of dividing by 3/2. So I'm actually gonna multiply by the reciprocal. That's the route we want to take. Because then the twos cancel out the threes, cancel out, or even if you want to look at it, six over six times f, that's still one times F, which is F and whatever we did in the left multiplied by 2/3. We also have to do on the rights almost played by 2/3. And again, we have some twos that will cancel out. And that leaves us with our answer. All you got left is a one in the top and a three on the bottom. So one there. Let's check her answer real quick. Here, 3/2 times F 1/3 should equal 1/2. Um, so again, I got this position where the three and the top and three in the bottom cancel out. There it is. There's that 1/2 that's left over. 1/2 equals 1/2. That means 1/3 must be our answer
Okay, this question that given is f equals two F one F two divided by F one plus f two. Okay. And we have to solve this equation for F two. Okay, we have to solve our F two. So first of all, this is a rational expression, and we have to find the least common denominator off one and f one plus f toe. Clear the equation by an infection, so l city will be a one plus f to So we will multiply this. I'll sit on the both off the side of the equation. So if one plus F two multiplied by f and F one F two divided by F one plus F two multiplied by the city in the right hand side also okay. And this will give us F one f plus F two f equals toe. This will be cut by this. And this will be remaining f one F two only. Okay. And now we will subtract F one F two from from the question of the both offside, and it will be F one F plus F two f and we will subtract F one F two that is minus F one F two equals two F one F two minus F one F two. Okay, that will give us F one f plus F two f minus F one f Evan F two questo zero. Okay. And now we will subtract. Uh, well, subject both off the sides by F one f. Okay. And it will give us F one f minus f one f from the left side. It's just and f one f from the right hand side. Okay. And it will give a zero on the question Will be F two f So the F two f minus F one F two equals two minus f one f. Okay, and now we will divide the both of these are the question by minus one. Then it will be f one F two minus f f toe equals toe F f one. Okay, Onda, we will take after common in the left hand side and it will be f toe and F one minus f okay, and F f one is right inside. And now we will divide both sides of the equations by F one minus F that is have to f one minus f divided by F one minus F in the left hand side and F one minus F on the right hand side. Okay. And this will be cut and F two will be f F one divided by F one minus f. Okay. And this will be your final answer. Thank you.
Of it. So this time we have 32. So let's see. 32 is two times 16 16. It's four times for I didn't have to attempt to. You took two senators that we have one to the terms of tooth so we can pull two out and we have the terms of this. So we have experts to and then we have the cube root of our remaining two terms, which is two times two. That's for okay, so we get the following solution.