Solve by factoring the trinomial as a binomial square and then use the square root method. Round to the nearest tenth if necessary.
x^2 + 16x + 64 = 81
A. {9, -9}
B. {-8, 9}
C. {-17, 1}
D. no real solution

Question

Solve by factoring the trinomial as a binomial square and then use the square root method. Round to the nearest tenth if necessary.
x^2 + 16x + 64 = 81
	A.	{9, -9}
	B.	{-8, 9}
	C.	{-17, 1}
	D.	no real solution

anonymous · Answer

Answer B ?

anonymous · Answer

The goal of these problems is to get the left hand side of the equation to be a perfect square and then take the square root of both sides and solve for answers.
x^2+16x+64=81
The left side of the equation factors into (x+8)^2
so taking the square root of both sides
x+8=+ or - 9
so x= 1 or x= -17