Which equation is equivalent to x2 + 36x= 88?

Question

asked Mar 20, 2023 107k views

1 Answer

Ideaboxer · Answer 1 · 2023-03-25T17:30:03+0000

We must complete the square in order to solve the problem.

Now, the first step is to realize that if we have factor a quadratic (x+a)^2

$(x+a)^2=x^2+2ax+a^2^{}$

which, in our case, implies

$\therefore a=18$

Therefore, we add 18^2 to both sides of the equation such that

$x^2+36x\textcolor{#FF7968}{+18^2}=(x+18)^2$

this gives

$\textcolor{#FF7968}{\Rightarrow(x+18)^2=412}$

which is choice c from the options.