What is the answer to sqrt(3x+5)-sqrt(2x+3)=sqrt(x+2) ?

The answer to sqrt(3x+5)-sqrt(2x+3)=sqrt(x+2) is x=-3/2

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sqrt(3x+5)-sqrt(2x+3)=sqrt(x+2)

3 x + 5 - 2 x + 3 = x + 2

x = - \frac{3}{2}

Decimal Notation

x = - 1.5

Solution steps

3 x + 5 - 2 x + 3 = x + 2

Remove square roots

24 x^{2} + 76 x + 60 = 16 x^{2} + 48 x + 36

Solve

24 x^{2} + 76 x + 60 = 16 x^{2} + 48 x + 36 : x = - \frac{3}{2}, x = - 2

x = - \frac{3}{2}, x = - 2

Verify Solutions:

x = - \frac{3}{2}

True

, x = - 2

False

The solution is

x = - \frac{3}{2}

v + 3 - 1 = 7

3 x - x^{2} + 1 = 5

\frac{3 x + 10}{2 x + 5} = 0

2 x = \frac{x ^{2}}{4}

What is the answer to sqrt(3x+5)-sqrt(2x+3)=sqrt(x+2) ?
The answer to sqrt(3x+5)-sqrt(2x+3)=sqrt(x+2) is x=-3/2
Solve for x: sqrt(3x+5)-sqrt(2x+3)=sqrt(x+2)
The solution is x=-3/2