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

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

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

4 x - 3 - x + 1 = 1

x = 3

Solution steps

4 x - 3 - x + 1 = 1

Remove square roots

9 x^{2} - 30 x + 25 = 4 x + 4

Solve

9 x^{2} - 30 x + 25 = 4 x + 4 : x = 3, x = \frac{7}{9}

x = 3, x = \frac{7}{9}

Verify Solutions:

x = 3

True

, x = \frac{7}{9}

False

The solution is

x = 3

x^{2} + 2 x + 9 - 7 = 2 x

\frac{10 - 10 x}{3 x ^{\frac{1}{3}}} = 0

(x^{2} - 1)^{2} = x^{2} - 1

u + 1 = u + 1

4 1 + 3 x + 6 x + 3 = - 6 x - 1

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