What is the answer to sqrt(12+x)-sqrt(1-x)=1 ?

The answer to sqrt(12+x)-sqrt(1-x)=1 is x=-3

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sqrt(12+x)-sqrt(1-x)=1

12 + x - 1 - x = 1

x = - 3

Solution steps

12 + x - 1 - x = 1

Remove square roots

4 x^{2} + 40 x + 100 = 4 - 4 x

Solve

4 x^{2} + 40 x + 100 = 4 - 4 x : x = - 3, x = - 8

x = - 3, x = - 8

Verify Solutions:

x = - 3

True

, x = - 8

False

The solution is

x = - 3

x^{\frac{4}{3}} - 5 x^{\frac{2}{3}} + 6 = 0

x + 20 + 2 x = 2

- 10 x - 10 = - 60

x + 3 = 2 x + 21

4 + x - 1 = x + 3

What is the answer to sqrt(12+x)-sqrt(1-x)=1 ?
The answer to sqrt(12+x)-sqrt(1-x)=1 is x=-3
Solve for x: sqrt(12+x)-sqrt(1-x)=1
The solution is x=-3