What is the answer to sqrt(x+1)+sqrt(2x)=sqrt(5x+3) ?

The answer to sqrt(x+1)+sqrt(2x)=sqrt(5x+3) is x=1

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sqrt(x+1)+sqrt(2x)=sqrt(5x+3)

x + 1 + 2 x = 5 x + 3

x = 1

Solution steps

x + 1 + 2 x = 5 x + 3

Remove square roots

8 x^{2} + 8 x = 4 x^{2} + 8 x + 4

Solve

8 x^{2} + 8 x = 4 x^{2} + 8 x + 4 : x = 1, x = - 1

x = 1, x = - 1

Verify Solutions:

x = 1

True

, x = - 1

False

The solution is

x = 1

4 x - 3 - x + 1 = 1

x^{2} + 2 x + 9 - 7 = 2 x

\frac{10 - 10 x}{3 x ^{\frac{1}{3}}} = 0

(x^{2} - 1)^{2} = x^{2} - 1

u + 1 = u + 1

What is the answer to sqrt(x+1)+sqrt(2x)=sqrt(5x+3) ?
The answer to sqrt(x+1)+sqrt(2x)=sqrt(5x+3) is x=1
Solve for x: sqrt(x+1)+sqrt(2x)=sqrt(5x+3)
The solution is x=1