Question 277505
sqrt of y +(sqrt of y+7)= 7
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sqrt(y)+sqrt(y+7) = 7
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Square both sides to get:
y + 2sqrt(y^2+7y) + y+7 = 49
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2sqrt(y^2+7y) = 42-2y
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sqrt(y^2+7y) = 21-y
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Square both sides:
y^2+7y = 441 - 42y + y^2
49y = 441
y = 9
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Check in the original equation:
sqrt(9)+sqrt(16) = 7
3 + 4 = 7
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Solution: y = 9
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cheers,
Stan H.