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

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

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

x + 2 + 3 x + 7 = 1

x = - 2

Solution steps

x + 2 + 3 x + 7 = 1

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

2 + x + 8 = 8 - 2 x + 7

G (x) = 1 - x

3 x - 5 - x + 7 = 1

2 = x

x + x^{2} = 0

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