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Maths-

SAT

Easy

Question

$square root of 14 minus 2 x end root equals x minus 7$
What value of x satisfies the given equation?

The correct answer is: 7

$square root of 14 minus 2 x end root equals x minus 7 14 minus 2 x equals left parenthesis x minus 7 right parenthesis squared space 14 space minus space 2 x space equals space x squared space plus space 49 space minus space 14 x x squared space minus space 12 x space plus space 49 space minus space 14 space equals space 0 x squared space minus space 12 x space plus space 35 space equals space 0 x squared minus 7 x minus 5 x plus 35 equals 0 x left parenthesis x minus 7 right parenthesis space minus space 5 space left parenthesis x space minus space 7 right parenthesis space equals space 0 left parenthesis x minus 7 right parenthesis left parenthesis x minus 5 right parenthesis space equals space 0 x space equals space 7 comma 5$

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