What is the answer to sqrt(x+14)-sqrt(2x+5)=1 ?

The answer to sqrt(x+14)-sqrt(2x+5)=1 is x=2

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sqrt(x+14)-sqrt(2x+5)=1

x + 14 - 2 x + 5 = 1

x = 2

Solution steps

x + 14 - 2 x + 5 = 1

Remove square roots

x^{2} - 16 x + 64 = 8 x + 20

Solve

x^{2} - 16 x + 64 = 8 x + 20 : x = 22, x = 2

x = 22, x = 2

Verify Solutions:

x = 22

False

, x = 2

True

The solution is

x = 2

y, x y = x^{2} + y^{2}

y, x + y + 2 = 2 x + 2 y

x - 3 = 4 x - 7

What is the answer to sqrt(x+14)-sqrt(2x+5)=1 ?
The answer to sqrt(x+14)-sqrt(2x+5)=1 is x=2
Solve for x: sqrt(x+14)-sqrt(2x+5)=1
The solution is x=2