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Arlecino [84]
3 years ago
6

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

Mathematics
1 answer:
Bezzdna [24]3 years ago
4 0
\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 :
---------------------------------------------------------------------
x^2 = 36

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

---------------------------------------------------------------------
Answer :
---------------------------------------------------------------------
x = \pm6

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Answer: The smallest possible value of x is -6
---------------------------------------------------------------------
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