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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).

Respuesta :

Answer:

x = -2

Step-by-step explanation:

[tex]f(x)=x^{2}+18x+7[/tex]

[tex]g(x)=-3x^{2}+2x-9[/tex]

[tex]f(x)=g(x)[/tex]

[tex]\implies x^2 +18x+7=-3x^2 +2x-9[/tex]

[tex]\implies 4x^2 +16x+16=0[/tex]

[tex]\implies x^2 +4x+4=0[/tex]

[tex]\implies (x+2)^2=0[/tex]

[tex]\implies x+2=0[/tex]

[tex]\implies x=-2[/tex]