what number should be added to x2 + 12x to get (x +6)2
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Step-by-step explanation:
The answer is
x=0 ;
x=−12 .
Problem: Complete the square for
x²+12x
Rewrite the equation as a trinomial.
x²+12x+0
Move 0 to the right-hand side.
x²+12x=0
Divide the coefficient of the
x -term by 2, then square the result. Add the result to both sides.
12/2=6 ; 6²=36
x²+12x+36=36
Factor the perfect square trinomial
x²+12x+36
on the left-hand side.
(x+6)²=36
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