Question

4x²-144=0 how to solve this in quadratic equation by extracting square root

Answer 1

Answer:

4x2 -144 =0

4x2 = 144

x2 = 36

so x = √36

x =. 6

Answer 2

Hence solved and the value of x is 6.

Given:

4x²-144=0

To Find:

We are required to solve the given quadratic equation by extracting the square root.

Solution:

Applying the square root property and solving a quadratic equation is called extracting the roots.

Compare the given equation 4x²-144=0  with ax²+bx+c=0.

a = 4, b = 0, c = -144

4x²-144=0 ------(1)

On taking c = -144 to the right side of the equation(1) we get

4x² = 144   ------(2)

Now take the square root on both sides of the equation(2)

√4x² = √144

√(2x)² = √12²

2x = 12

x = 6

Hence solved and the value of x is 6.

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