What is the answer to sqrt(7+2x)-sqrt(3+x)=1 ?

The answer to sqrt(7+2x)-sqrt(3+x)=1 is x=1,x=-3

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sqrt(7+2x)-sqrt(3+x)=1

7 + 2 x - 3 + x = 1

x = 1, x = - 3

Solution steps

7 + 2 x - 3 + x = 1

Remove square roots

x^{2} + 6 x + 9 = 12 + 4 x

Solve

x^{2} + 6 x + 9 = 12 + 4 x : x = 1, x = - 3

x = 1, x = - 3

Verify Solutions:

x = 1

True

, x = - 3

True

The solutions are

x = 1, x = - 3

6 - x + 1 = x - 3

x^{- \frac{1}{3}} = - 3

x - x^{2} - 21 = 7

x^{2} + 3 x - 3 = 0

What is the answer to sqrt(7+2x)-sqrt(3+x)=1 ?
The answer to sqrt(7+2x)-sqrt(3+x)=1 is x=1,x=-3
Solve for x: sqrt(7+2x)-sqrt(3+x)=1
The solution is x=1,x=-3