How do you solve \sqrt { 5- \frac { x } { 4} } = \sqrt { x + 8}?

1 Answer
May 8, 2017

x=-12/5

Explanation:

sqrt (5-x/4)=sqrt (x+8)
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Squaring both sides:
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(sqrt (5-x/4))^2=(sqrt (x+8))^2
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rArr5-x/4=x+8
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rArr-x/4-x=-5+8
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rArr-x/4-(4x)/4=+3
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rArr-(5x)/4=3
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rArr-5x=12
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rArrx=-12/5