Find the roots of `4x^2+3x+5=0`by the method of completing the square.

Explanation

`4x^2+3x+5=0`

dividing both side by 4

`(4x^2+3x+5)/4=0/4`

`x^2+3/4x+5/4=0`

`x^2+2(3/8)x+5/4=0`

`x^2+2(3/8)x+(3/8)^2-(3/8)^2+5/4=0`

`(x+3/8)^2=6/69-5/4`

`(x+3/8)^2=-71/64`

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