Question

plz solve question by factorization method

Answer 1

$\bold{Answer :}$

{ I am unable to solve it by factorization method; so giving you the solution in square method. }

Now,

32m² - 12m - 3 = 0

or, 16m² - 6m - 3/2 = 0, dividing both sides by 2

or, (4m)² - (2 × 4m × 3/2) + (3/2)² = 3/2 + (3/2)²

or, (4m - 3/2)² = 3/2 + 9/4

or, (4m - 3/2)² = (6 + 9)/4

or, (4m - 3/2)² = 15/4

or, (4m - 3/2)² = {(√15)/2}²

or, 4m - 3/2 = ± (√15)/2

or, 4m = 3/2 ± (√15)/2

or, m = 3/8 ± (√15)/8

Therefore, the required roots are

m = 3/8 ± (√15)/8

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