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

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

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

3 x + 7 + x + 2 = 1

x = - 2

Solution steps

3 x + 7 + x + 2 = 1

Remove square roots

4 x^{2} + 16 x + 16 = 4 x + 8

Solve

4 x^{2} + 16 x + 16 = 4 x + 8 : x = - 1, x = - 2

x = - 1, x = - 2

Verify Solutions:

x = - 1

False

, x = - 2

True

The solution is

x = - 2

x = 2 + x - 2

2 x - 7 = 1

x - 5 = 2

9 - x^{2} = 0

5 x + x = 0

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