Question

Solve the equation by Square Root Method 16x^2-25=0

Answer 1

x=±5/4

Explanation:

First things first, we need to isolate x, we do this by add 25 to both sides

16x^2-25+25=0+25

Add

16x^2=25

Divide both sides by 16

16x^2/16=25/16

Simplify

x^2=25/16

Take the square root of both sides

x=±5/4

Answer 2

The value of x is 5/4 or -5/4

Explanation:

It is given that,

16x² - 25 = 0

This is a quadratic equation, x have 2 values.

To solve the equation by square root method

16x² - 25 = 0

16x² = 25

(4x)² = 5²

Taking square root on both the sides. We get,

√(4x)² = √5²

4x = ± 5

4x = +5 or 4x = -5

If 4x = +5

x = 5/4

if 4x = -5

x = -5/4

Therefore the value of x is 5/4 or -5/4