What is the answer to sqrt(x-3)+sqrt(2x+1)-2sqrt(x)=0 ?

The answer to sqrt(x-3)+sqrt(2x+1)-2sqrt(x)=0 is x=4

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sqrt(x-3)+sqrt(2x+1)-2sqrt(x)=0

x - 3 + 2 x + 1 - 2 x = 0

x = 4

Solution steps

x - 3 + 2 x + 1 - 2 x = 0

Remove square roots

8 x^{2} - 20 x - 12 = x^{2} + 4 x + 4

Solve

8 x^{2} - 20 x - 12 = x^{2} + 4 x + 4 : x = 4, x = - \frac{4}{7}

x = 4, x = - \frac{4}{7}

Verify Solutions:

x = 4

True

, x = - \frac{4}{7}

False

The solution is

x = 4

3 x + 10 - 3 - x = 3

2 x + 48 = x

x = 2 2 x - 3

3 x - 9 = 0

2 3 x + 1 - 7 = - 3 x

What is the answer to sqrt(x-3)+sqrt(2x+1)-2sqrt(x)=0 ?
The answer to sqrt(x-3)+sqrt(2x+1)-2sqrt(x)=0 is x=4
Solve for x: sqrt(x-3)+sqrt(2x+1)-2sqrt(x)=0
The solution is x=4