What is the answer to sqrt(5x+39)-sqrt(x+31)=2 ?

The answer to sqrt(5x+39)-sqrt(x+31)=2 is x=5

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sqrt(5x+39)-sqrt(x+31)=2

5 x + 39 - x + 31 = 2

x = 5

Solution steps

5 x + 39 - x + 31 = 2

Remove square roots

16 x^{2} + 32 x + 16 = 16 x + 496

Solve

16 x^{2} + 32 x + 16 = 16 x + 496 : x = 5, x = - 6

x = 5, x = - 6

Verify Solutions:

x = 5

True

, x = - 6

False

The solution is

x = 5

(x + 4)^{\frac{4}{3}} = 81

x^{2} - x - 2 = x + 3

2 x^{2} + 10 = 6 x

9 x = 0

x + 1 - 3 = 1

What is the answer to sqrt(5x+39)-sqrt(x+31)=2 ?
The answer to sqrt(5x+39)-sqrt(x+31)=2 is x=5
Solve for x: sqrt(5x+39)-sqrt(x+31)=2
The solution is x=5