Question

solve the following quadratic equations by completing the square method. m square -5m=-3

Answer 1

Hi ,

m² - 5m = -3

m² - 2 × m × ( 5/2 ) = -3

m² - 2 × m × ( 5/2 )+(5/2)² = -3+(5/2)²

( m - 5/2 )² = -3 + 25/4

( m - 5/2 )² = ( -12 + 25 )/4

( m - 5/2 )² = 13/4

m - 5/2 = ± √(13/4 )

m - 5/2 = ± √13/2

m = 5/2 ± √13/2

m = ( 5 ± √13)/2

Therefore ,

required roots of the quadratic

equation ,

m = ( 5 +√13 )/2

Or

m = ( 5 - √13 )/2

I hope this helps you.

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