Question

Solve the equation 64x2 − 144 = −23 by using square roots.
x = ±11/8
x = ±3/2
no real solutions
x = ±7/4

Answer 1

Answer:

The answers are:x = ±7/4x = ±3/2x = ±11/8

yww:)

Answer 2

Answer:

Option A, $x =$ ± $11/8$

Step-by-step explanation:

Step 1:  Add 144 to both sides

$64x^2 - 144 = -23$

$64x^2 - 144 + 144 = -23 + 144$

$64x^2 = 121$

Step 2:  Divide both sides by 64

$\frac{64x^2}{64} = \frac{121}{64}$

$x^2 = 1.890625$

Step 3:  Square root both sides

$\sqrt{x^2} = \sqrt{1.890625}$

$x =$ ± $1.375$

$x =$ ± $11/8$

Answer: Option A, $x =$ ± $11/8$