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

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

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

x + 2 = 1 - 3 x + 7

x = - 2

Solution steps

x + 2 = 1 - 3 x + 7

Remove square roots

4 x^{2} + 24 x + 36 = 12 x + 28

Solve

4 x^{2} + 24 x + 36 = 12 x + 28 : x = - 1, x = - 2

x = - 1, x = - 2

Verify Solutions:

x = - 1

False

, x = - 2

True

The solution is

x = - 2

0 = x + 2

x + 15 - x - 6 = 3

x + 8 = 8

u = 30 - 13 u

4 x + 33 = x + 7

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