What is the answer to sqrt(5x-1)-sqrt(x+6)=3 ?

The answer to sqrt(5x-1)-sqrt(x+6)=3 is x=10

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sqrt(5x-1)-sqrt(x+6)=3

5 x - 1 - x + 6 = 3

x = 10

Solution steps

5 x - 1 - x + 6 = 3

Remove square roots

16 x^{2} - 128 x + 256 = 36 x + 216

Solve

16 x^{2} - 128 x + 256 = 36 x + 216 : x = 10, x = \frac{1}{4}

x = 10, x = \frac{1}{4}

Verify Solutions:

x = 10

True

, x = \frac{1}{4}

False

The solution is

x = 10

y - 5 + y = 5

2 x - \frac{2}{3} = 0

5 + 2 x = - x - 1

7 x + 1 = 10 x - 6

x^{\frac{1}{2}} - 6 x^{\frac{1}{4}} + 5 = 0

What is the answer to sqrt(5x-1)-sqrt(x+6)=3 ?
The answer to sqrt(5x-1)-sqrt(x+6)=3 is x=10
Solve for x: sqrt(5x-1)-sqrt(x+6)=3
The solution is x=10