What is the answer to sqrt(x+2)+sqrt(3x+4)=2 ?

The answer to sqrt(x+2)+sqrt(3x+4)=2 is x=-1

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sqrt(x+2)+sqrt(3x+4)=2

x + 2 + 3 x + 4 = 2

x = - 1

Solution steps

x + 2 + 3 x + 4 = 2

Remove square roots

4 x^{2} + 24 x + 36 = 48 x + 64

Solve

4 x^{2} + 24 x + 36 = 48 x + 64 : x = 7, x = - 1

x = 7, x = - 1

Verify Solutions:

x = 7

False

, x = - 1

True

The solution is

x = - 1

8 x + 80 + 3 = 11

4 x + 36 + 2 = 10

8 x - 71 + 19 = 20

13 - 4 x = x - 4

What is the answer to sqrt(x+2)+sqrt(3x+4)=2 ?
The answer to sqrt(x+2)+sqrt(3x+4)=2 is x=-1
Solve for x: sqrt(x+2)+sqrt(3x+4)=2
The solution is x=-1