Question

find the roots of the quadratic equation by factorisation:2x^2+x-6=0. ans should equal to x=-4 or 3/2​

Answer 1

Answer:

$2x {}^{2} + x - 6 = 0 \\2x {}^{2} + (4 - 3)x - 6 = 0 \\ 2x {}^{2} + 4x - 3x - 6 = 0 \\ (2x {}^{2} + 4x) - (3x + 6) = 0 \\ 2x(x + 2) - 3(x + 2) = 0 \\ (2x - 3)(x + 2) = 0 \\ 2x - 3 = 0 \: \: \: or \: \: x + 2 = 0 \\ x = 3 \div 2 \: \: or \: \: x = - 2$

Hence, the roots are 3/2& -2

Answer 2

Step-by-step explanation:

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