Question

Find the smallest possible solution to 2/3x^2=24

Answer 1

$\dfrac{2}{3} x^2 = 24$

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Divide by 2/3 on both sides :
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$x^2 = 24 \div \dfrac{2}{3}$

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Change the divide fraction to multiplication fraction :
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$x^2 = 24 \times \dfrac{3}{2}$

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Simplify :
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$x^2 = 36$

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Square root both sides :
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$x = \pm \sqrt{36}$

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Answer :
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$x = \pm6$

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Answer: The smallest possible value of x is -6
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