SOLUTION: sqrt y-5 + sqrt y = 5
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Algebra: Radicals -- complicated equations involving roots
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Question 162121
:
sqrt y-5 + sqrt y = 5
Answer by
edjones(7311)
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sqrt(y-5)+sqrt(y)=5
2sqrt(y^2-5y)+2y-5=25 square each side
2sqrt(y^2-5y)=30-2y
4(y^2-5y)=4y^2-120y+900 square each side
4y^2-20y=4y^2-120y+900
100y=900
y=9
.
Ed