What is the answer to sqrt(3x+34)-sqrt(x+31)=1 ?

The answer to sqrt(3x+34)-sqrt(x+31)=1 is x=5

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sqrt(3x+34)-sqrt(x+31)=1

3 x + 34 - x + 31 = 1

x = 5

Solution steps

3 x + 34 - x + 31 = 1

Remove square roots

4 x^{2} + 8 x + 4 = 4 x + 124

Solve

4 x^{2} + 8 x + 4 = 4 x + 124 : x = 5, x = - 6

x = 5, x = - 6

Verify Solutions:

x = 5

True

, x = - 6

False

The solution is

x = 5

c^{2} + 10 c + 25 = c + 5

y = 20

x - 3 + x + 3 = 3

x = 2 x 36 - x^{2}

What is the answer to sqrt(3x+34)-sqrt(x+31)=1 ?
The answer to sqrt(3x+34)-sqrt(x+31)=1 is x=5
Solve for x: sqrt(3x+34)-sqrt(x+31)=1
The solution is x=5