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

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

yww:)

Answer 2

Option A,
`x =` ±
`11/8`

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

`(64x^2)/(64) = (121)/(64)`

`x^2 = 1.890625`

Step 3: Square root both sides

`√(x^2) = √(1.890625)`

`x =` ±
`1.375`

`x =` ±
`11/8`

Answer: Option A,
`x =` ±
`11/8`