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प्रश्न
Solve the following quadratic equation by completing the square method.
m2 – 5m = –3
बेरीज
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उत्तर
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`
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