Question

solve using completing square method and m square minus 5m is equal to minus 3​

Answer 1

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,

m=(5+√13)/2 or m =(5-√13)/2

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