Question

Solve the following quadratic equation by completing the square method.

 m² – 5m = –3

Answer 1

Given Quadratic Equation:

 m² – 5m = –3

Term to be added = `(-5/2)^2`

`=25/4`

`m^2 - 5m + 25/4`

`-3 + 25/4`

`(3 - 5/2)^2 = (-3xx4+25)/4`

`(m - 5/2)^2 = (-12+25)/4`

`(m - 5/2)^2 = 13/4`

`m - 5/2 = +- sqrt(13/4)`

`m - 5/2 = +- sqrt13/2`

`m = 5/2 +- sqrt13/2`

`m = (5 +- sqrt13)/2`