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

The answer to 2sqrt(x-1)-sqrt(x+4)=1 is x=5

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

2 x - 1 - x + 4 = 1

x = 5

Solution steps

2 x - 1 - x + 4 = 1

Remove square roots

9 x^{2} - 54 x + 81 = 4 x + 16

Solve

9 x^{2} - 54 x + 81 = 4 x + 16 : x = 5, x = \frac{13}{9}

x = 5, x = \frac{13}{9}

Verify Solutions:

x = 5

True

, x = \frac{13}{9}

False

The solution is

x = 5

6 x^{\frac{5}{3}} - 42 = 0

y, u = 0.15 y^{0.25}

3 x + 6 = x + 5

3 x - 3 - 4 = 1

x - 9 = 3 x + 1

What is the answer to 2sqrt(x-1)-sqrt(x+4)=1 ?
The answer to 2sqrt(x-1)-sqrt(x+4)=1 is x=5
Solve for x: 2sqrt(x-1)-sqrt(x+4)=1
The solution is x=5