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

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03-04-2018
Mathematics

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

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Аноним Аноним · Answer 1 · 2018-04-03T01:46:47+02:00

[tex] \dfrac{2}{3} x^2 = 24[/tex]

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

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Change the divide fraction to multiplication fraction :
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[tex] x^2 = 24 \times \dfrac{3}{2} [/tex]

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Simplify :
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[tex] x^2 = 36[/tex]

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Square root both sides :
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[tex]x = \pm \sqrt{36} [/tex]

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Answer :
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[tex]x = \pm6[/tex]

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Answer: The smallest possible value of x is -6
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