SOLUTION: i cant figure out thi problem and as wondering if you could help me out on it. f[x]=-xSq.+9x-5 there is four answers a[-9over2,-263over4] b[9,5 ] c[9over2,61over4] d

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: i cant figure out thi problem and as wondering if you could help me out on it. f[x]=-xSq.+9x-5 there is four answers a[-9over2,-263over4] b[9,5 ] c[9over2,61over4] d      Log On


   



Question 87372: i cant figure out thi problem and as wondering if you could help me out on it.
f[x]=-xSq.+9x-5 there is four answers a[-9over2,-263over4] b[9,5 ] c[9over2,61over4] d[9over2,101over4] i think it might be c but iam stuck

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
[x]=-xSq.+9x-5 there is four answers a[-9over2,-263over4] b[9,5 ] c[9over2,61over4] d[9over2,101over4] i think it might be c but iam stuck
:
f(x)= x^2 + 9x - 5
To solve, using the "complete the square" method:
x^2 + 9x - 5 = 0
x^2 + 9x + __ = +5
:
Find the term which will make it a perfect square;
Divide coefficient of the 2nd term by 2 and square it
Here, that would be (9/2)^2 = (81/4), add this to both sides
x^2 + 9x + (81/4) = +5 + (81/4)
:
x^2 + 9x + (81/4) = (20/4) + (81/4); (5 = 20/4)
x^2 + 9x + (81/4) = 101/4
:
Which is:
(x^2 + 9/2)^2 = 101/4
Find the square root of both sides:
x + (9/2) = +/-sqrt(101/4)
x = %28-9%2F2%29%2B-sqrt%28101%2F4%29%29
:
The closest answer would be d, but it should be a minus 9/2.