Question

discuss the nature of solution of quadratic equation (2x-3) (x+2) =0
(solve it)
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Answer 1

Answer:

nature of solution of quadratic equation (2x-3) (x+2) = 0

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