Math, asked by raaghavi60261, 11 months ago

Find the roots of 4x square + 4x - 15 = 0 by completing square method

Answers

Answered by AlluringNightingale
0

Answer:

x = 3/2 , -5/2

Note:

★ The possible values of the variable which satisfy the given equation are called its roots .

★ A quadratic equation can have atmost two roots .

Solution:

Here,

The given quadratic equation is ;

4x² + 4x - 15 = 0 .

We need to find the roots of the given quadratic equation by Complete squaring method .

Thus,

=> 4x² + 4x - 15 = 0

=> (2x)² + 2•2x•1 + 1² - 1² - 15 = 0

=> (2x² + 2•2x•1 + 1²) - 1 - 15 = 0

=> (2x + 1)² = 1 + 15

=> (2x + 1)² = 16

=> 2x + 1 = √16

=> 2x + 1 = ± 4

=> 2x = - 1 ± 4

=> x = (-1 ± 4)/2

=> x = (-1 + 4)/2 , (-1 - 4)/2

=> x = 3/2 , -5/2

Hence,

The required answer is ; x = 3/2 , -5/2

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