Question

Vertex form equation 4(x+2)^2-81
what is the solution?​

Answer 1

x₁ = 2.5 , x₂ = - 6.5

Explanation:

`4(x+2)^2-81=0\\\\4(x+2)^2=81\\\\(x+2)^2=\frac{81}4\\\\x+2=\sqrt{\frac{81}4}\quad\vee\quad x+2=-\sqrt{\frac{81}4}\\\\x=\frac92-2\qquad\vee\quad\ x=-\frac92-2\\\\x=\frac52\qquad\vee\quad\ x=-\frac{13}2`