Find the roots of the following quadratic (if they exist) by the method of completing the square.
4x²+4√3x+3=0
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x = - √3 /2 roots of the 4x²+4√3x+3=0
Step-by-step explanation:
4x²+4√3x+3=0
=> (2x)² + 2* √3 * (2x) + (√3)² = 0
=> (2x)² + 2 * (2x) * √3 + (√3)² = 0
Comparing with (a + b)² = a² + 2ab + b²
a = 2x
b = √3
=> (2x + √3)² = 0
=> 2x + √3 = 0
=> x = - √3 /2
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