What is the answer to sqrt(7x+1)-sqrt(x-5)=6 ?

The answer to sqrt(7x+1)-sqrt(x-5)=6 is x=9,x=5

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sqrt(7x+1)-sqrt(x-5)=6

7 x + 1 - x - 5 = 6

x = 9, x = 5

Solution steps

7 x + 1 - x - 5 = 6

Remove square roots

36 x^{2} - 360 x + 900 = 144 x - 720

Solve

36 x^{2} - 360 x + 900 = 144 x - 720 : x = 9, x = 5

x = 9, x = 5

Verify Solutions:

x = 9

True

, x = 5

True

The solutions are

x = 9, x = 5

x^{\frac{1}{2}} = x

x + x - 20 = 10

x^{2} = x - 4

4 x - 3 = 5

3 x + 3 = 1 + x + 2

What is the answer to sqrt(7x+1)-sqrt(x-5)=6 ?
The answer to sqrt(7x+1)-sqrt(x-5)=6 is x=9,x=5
Solve for x: sqrt(7x+1)-sqrt(x-5)=6
The solution is x=9,x=5