What is the answer to 2y-sqrt(y-1)=3y-7 ?

The answer to 2y-sqrt(y-1)=3y-7 is y=5

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2y-sqrt(y-1)=3y-7

2 y - y - 1 = 3 y - 7

y = 5

Solution steps

2 y - y - 1 = 3 y - 7

Remove square roots

y - 1 = y^{2} - 14 y + 49

Solve

y - 1 = y^{2} - 14 y + 49 : y = 10, y = 5

y = 10, y = 5

Verify Solutions:

y = 10

False

, y = 5

True

The solution is

y = 5

x^{2} - x - 5 = 0

x - 3 x^{\frac{1}{2}} - 4 = 0

x - x - 17 = 1

x - 5 = 3

What is the answer to 2y-sqrt(y-1)=3y-7 ?
The answer to 2y-sqrt(y-1)=3y-7 is y=5
Solve for y: 2y-sqrt(y-1)=3y-7
The solution is y=5