Solve y=(x+6)^2+4

$$y = ( x + 6 ) ^ { 2 } + 4$$

Solve for y

$$y=\left(x+6\right)^{2}+4$$

Solution Steps

Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+6\right)^{2}.

$$y=x^{2}+12x+36+4$$

Add 36 and 4 to get 40.

$$y=x^{2}+12x+40$$

Solve for x (complex solution)

$$x=-\left(\sqrt{y-4}+6\right)$$

$$x=\sqrt{y-4}-6$$

Solve for x

$$x=-\left(\sqrt{y-4}+6\right)$$

$$x=\sqrt{y-4}-6\text{, }y\geq 4$$