SOLUTION: Find all values of c satisfying these two conditions. Show your work. G(x)=6x^2+13x+3 and G(c)=8

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find all values of c satisfying these two conditions. Show your work. G(x)=6x^2+13x+3 and G(c)=8      Log On


   

Question 908077: Find all values of c satisfying these two conditions. Show your work.
G(x)=6x^2+13x+3 and G(c)=8
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
G%28x%29=6x%5E2%2B13x%2B3 and G%28c%29=8

G%28c%29=6c%5E2%2B13c%2B3=8
6c%5E2%2B13c%2B3-8=0
6c%5E2%2B13c-5=0

c=%28-13%2B-sqrt%28169%2B4%2A6%2A5%29%29%2F%282%2A6%29
c=%28-13%2B-sqrt%28169%2B120%29%29%2F%282%2A6%29
c=%28-13%2B-sqrt%28289%29%29%2F%282%2A6%29
highlight_green%28c=%28-13%2B-+17%29%2F%282%2A6%29%29
Simplify this further.