What is the answer to sqrt(3x+1)=1+sqrt(2x-1) ?

The answer to sqrt(3x+1)=1+sqrt(2x-1) is x=5,x=1

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sqrt(3x+1)=1+sqrt(2x-1)

3 x + 1 = 1 + 2 x - 1

x = 5, x = 1

Solution steps

3 x + 1 = 1 + 2 x - 1

Remove square roots

x^{2} + 2 x + 1 = 8 x - 4

Solve

x^{2} + 2 x + 1 = 8 x - 4 : x = 5, x = 1

x = 5, x = 1

Verify Solutions:

x = 5

True

, x = 1

True

The solutions are

x = 5, x = 1

1 - 3 x - 5 - 4 - x = 0

3 2 x - 4 + 6 = 3

y^{\frac{1}{2}} - 9 y^{\frac{1}{4}} + 20 = 0

10 - 11 x = x - 1

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