What is the answer to 1+2sqrt(x+1)=3sqrt(4x-3)-4 ?

The answer to 1+2sqrt(x+1)=3sqrt(4x-3)-4 is x=3

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1+2sqrt(x+1)=3sqrt(4x-3)-4

1 + 2 x + 1 = 3 4 x - 3 - 4

x = 3

Solution steps

1 + 2 x + 1 = 3 4 x - 3 - 4

Remove square roots

1024 x^{2} - 384 x + 36 = 3600 x - 2700

Solve

1024 x^{2} - 384 x + 36 = 3600 x - 2700 : x = 3, x = \frac{57}{64}

x = 3, x = \frac{57}{64}

Verify Solutions:

x = 3

True

, x = \frac{57}{64}

False

The solution is

x = 3

x - 5 = x - 6

2 x + 1 = - 3

64 - x^{2} + 36 - x^{2} = 10

x^{\frac{1}{3}} = 7

y, x + y = 7

What is the answer to 1+2sqrt(x+1)=3sqrt(4x-3)-4 ?
The answer to 1+2sqrt(x+1)=3sqrt(4x-3)-4 is x=3
Solve for x: 1+2sqrt(x+1)=3sqrt(4x-3)-4
The solution is x=3