Question

Find the smallest solution of the equation 2/3x^2=24

Answer 1

$\dfrac{2}{3} {x}^{2} \: \: = \: \: 24 \\ \\ \: {x}^{2} \: \: = 24 \: \times \: \dfrac{3}{2} \\ \\ \: {x}^{2} \: \: = \: \: 36 \\ \\ x = 6 \: \: or \: \: x = - 6 \: \: \: \:$

Hence , smallest solution is -6

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