Question

solve the quadratic equation by factorisation method 13m=6(m²+1)​

Answer 1

$13m = 6( {m}^{2} + 1) \\ 6 {m}^{2} - 13m + 6 = 0 \\ 6 {m}^{2} - 9m - 4m + 6 = 0 \\ 3m(2m - 3) - 2(2m - 3) = 0 \\ (3m - 2) \times (2m - 3) = 0 \\ m = \frac{2}{3} \: \: or \: \: \frac{3}{2}$

Answer 2

13m = 6m^2 + 6

6m^2 -13m + 6 = 0

multiply coefficent of m^2 with constant

6*6 = 36

6m^2 -13m +6 = 0

6m^2 -9m -4m + 6 = 0

3m ( 2m - 3 ) -2( 2m -3 ) =0

( 3m - 2 ) ( 2m - 3 ) = 0

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