Question

Solve the inequality : 2x^2+x+6<=0​

Answer 1

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$x = - 2 \: or \: x = \frac{3}{2}$

SOLUTION :-

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

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