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

x = -2

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`