Kaelynaust1128idn
Answered

IDNLearn.com: Your one-stop destination for finding reliable answers. Ask anything and receive immediate, well-informed answers from our dedicated community of experts.

Solve by using the perfect squares method.

x2 + 16x + 64= 0
a. –8
b. –16
c. 8
d. 16

Sagot :

Rabinshrestha41idn
x² + 16x + 64 = 0
x² + 2 * x * 8 + 8² = 0

Now, sing the formula (a + b)² = a² + 2ab + b² , we get,

(x + 8)² = 0

Square rooting on both sides, we get,

x + 8 = √0

x + 8 = 0

x = - 8    <== that's your answer!!!

Jzakoianidn
x²+16x+64=(x+8)² (because (a+b)²=a²+2ab+b² => perfect square)
So you have to find x which will make (x+8)²=0
which is true when x+8=0
x=-8 
That's a.
Hope it helps!
We greatly appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. IDNLearn.com is committed to providing accurate answers. Thanks for stopping by, and see you next time for more solutions.