Question

Let f(x)=x^{2}+18x+7\ and\ g(x)=-3x^{2}+2x-9.f(x)=x^2 +18x+7 and g(x)=−3x^2 +2x−9. Identify the solution(s) of f(x)=g(x).f(x)=g(x).

Answer 1

Answer:

x = -2

Step-by-step explanation:

$f(x)=x^{2}+18x+7$

$g(x)=-3x^{2}+2x-9$

$f(x)=g(x)$

$\implies x^2 +18x+7=-3x^2 +2x-9$

$\implies 4x^2 +16x+16=0$

$\implies x^2 +4x+4=0$

$\implies (x+2)^2=0$

$\implies x+2=0$

$\implies x=-2$