Question

What are the solutions of 16p 2 - 64 = 0?

Answer 1

Answer:

=2 =−2

Step-by-step explanation:

Common factor

16 2 − 64 = 0

16(2 − 4)= 0

Use the sum-product pattern

16(2−4)=0

16(2 + 2 − 2 − 4) = 0

Common factor from the two pairs

16(( 2 + 2) + (−2 − 4)) = 0

16 ( ( + 2 ) − 2 ( + 2 ) ) = 0

Rewrite in factored form

16 ( ( + 2 ) − 2 ( + 2 ) ) = 0

1 6 ( − 2 ) ( + 2 ) = 0

Create separate equations

16 ( − 2 ) ( + 2 ) = 0

− 2 = 0

+ 2 = 0

Solve / Rearrange and isolate the variable to find each solution

= − 2

= 2