Question

4x²-5x+3=0 solve by completing the square method​

Answer 1

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$\implies{ 4x^2 - 5x = - 30}$

Now , third term = $\frac{25}{4}$

$\implies{ 4x^2 - 5x + \frac{25}{4} = - 30 + \frac{25}{4} }$

$\implies{ [2x - \frac{5}{2}]^2 = \frac{-95}{4} }$

$\implies{ 2x - \frac{5}{2} = \sqrt{\frac{-95}{4} }}$

$\implies{ 2x = \frac{\sqrt{ -95}{4}} + \frac{5}{2}}$

$\implies{ x =\frac { \sqrt{-95}+5}{4} }$

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