Question

1. Find the roots of the following quadratic equations, if they exist, by the method of
completing the square:

(iii) 4x² +4√3x + 3 = 0
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Answer 1

Step-by-step explanation:

i hope it is helpful for you

Answer 2

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Given:

We have been given a Quadratic equation 4x² +4√3x + 3 = 0.

To Find:

We need to find its roots by the method of completing the square.

Solution:

Given quadratic equation is 4x² +4√3x + 3 = 0.

=> 4x² +4√3x = 0 - 3

or x² + (4√3x)/4 = -3/4

or x² + √3x = -3/4

or x² + √3x + (√3/2)^2 = -3/4 + (√3/2)^2

or [x + (√3/2)^2] = -3/4 + 3/4

=>[x + (√3/2)^2] = 0

=> (x + √3/2) (x + √3/2)

=> x + √3/2 = 0 or x + √3/2 = 0

Therefore x = -√3/2, -√3/2.

Hence the roots of this equation are -√3/2 and -√3/2.