What is the answer to sqrt(2x+11)-sqrt(5x+1)=-1 ?

The answer to sqrt(2x+11)-sqrt(5x+1)=-1 is x=7

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sqrt(2x+11)-sqrt(5x+1)=-1

2 x + 11 - 5 x + 1 = - 1

x = 7

Solution steps

2 x + 11 - 5 x + 1 = - 1

Remove square roots

9 x^{2} - 54 x + 81 = 20 x + 4

Solve

9 x^{2} - 54 x + 81 = 20 x + 4 : x = 7, x = \frac{11}{9}

x = 7, x = \frac{11}{9}

Verify Solutions:

x = 7

True

, x = \frac{11}{9}

False

The solution is

x = 7

5 + 5 x - 19 = x

7 - x + 2 x + 1 = 0

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

What is the answer to sqrt(2x+11)-sqrt(5x+1)=-1 ?
The answer to sqrt(2x+11)-sqrt(5x+1)=-1 is x=7
Solve for x: sqrt(2x+11)-sqrt(5x+1)=-1
The solution is x=7