What is the answer to 6y-sqrt(2y^2-1)=7y-2 ?

The answer to 6y-sqrt(2y^2-1)=7y-2 is y=-5,y=1

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6y-sqrt(2y^2-1)=7y-2

6 y - 2 y^{2} - 1 = 7 y - 2

y = - 5, y = 1

Solution steps

6 y - 2 y^{2} - 1 = 7 y - 2

Remove square roots

2 y^{2} - 1 = y^{2} - 4 y + 4

Solve

2 y^{2} - 1 = y^{2} - 4 y + 4 : y = - 5, y = 1

y = - 5, y = 1

Verify Solutions:

y = - 5

True

, y = 1

True

The solutions are

y = - 5, y = 1

4 = x + 2

y, x = y + 1

5 t + 3 = - 2

5 x - 4 + 1 = 11

x - 5 = 0

What is the answer to 6y-sqrt(2y^2-1)=7y-2 ?
The answer to 6y-sqrt(2y^2-1)=7y-2 is y=-5,y=1
Solve for y: 6y-sqrt(2y^2-1)=7y-2
The solution is y=-5,y=1