What is the answer to sqrt(4x+5)-sqrt(x-1)=sqrt(x+4) ?

The answer to sqrt(4x+5)-sqrt(x-1)=sqrt(x+4) is x=5

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sqrt(4x+5)-sqrt(x-1)=sqrt(x+4)

4 x + 5 - x - 1 = x + 4

x = 5

Solution steps

4 x + 5 - x - 1 = x + 4

Remove square roots

16 x^{2} + 4 x - 20 = 16 x^{2}

Solve

16 x^{2} + 4 x - 20 = 16 x^{2} : x = 5

x = 5

Verify Solutions:

x = 5

True

The solution is

x = 5

4 w - 4 + 11 = 14

x^{2} - 7 x = 3 x - 21

L, t = 2 π \frac{L}{g}

3 18 + x = - 5

(4 y - 8)^{\frac{1}{3}} + 6 = 10

What is the answer to sqrt(4x+5)-sqrt(x-1)=sqrt(x+4) ?
The answer to sqrt(4x+5)-sqrt(x-1)=sqrt(x+4) is x=5
Solve for x: sqrt(4x+5)-sqrt(x-1)=sqrt(x+4)
The solution is x=5