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

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

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

2 x + 3 + x + 2 = 2

x = - 1

Solution steps

2 x + 3 + x + 2 = 2

Remove square roots

x^{2} - 6 x + 9 = 16 x + 32

Solve

x^{2} - 6 x + 9 = 16 x + 32 : x = 23, x = - 1

x = 23, x = - 1

Verify Solutions:

x = 23

False

, x = - 1

True

The solution is

x = - 1

32 + 4 x = x

8 x - 16 = 0

2 x + 7 x = 4

x + 2 + x = 2

x - 2 = x

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