What is the answer to sqrt(x)+sqrt(x+3)=sqrt(x+8) ?

The answer to sqrt(x)+sqrt(x+3)=sqrt(x+8) is x=1

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sqrt(x)+sqrt(x+3)=sqrt(x+8)

x + x + 3 = x + 8

x = 1

Solution steps

x + x + 3 = x + 8

Remove square roots

4 x^{2} + 12 x = x^{2} - 10 x + 25

Solve

4 x^{2} + 12 x = x^{2} - 10 x + 25 : x = - \frac{25}{3}, x = 1

x = - \frac{25}{3}, x = 1

Verify Solutions:

x = - \frac{25}{3}

False

, x = 1

True

The solution is

x = 1

2 x^{\frac{3}{2}} = 250

x \cdot 2 = 3 x

7 x + 65 = x + 3

x - 16 x + 63 = 0

125 = x^{\frac{3}{2}}

What is the answer to sqrt(x)+sqrt(x+3)=sqrt(x+8) ?
The answer to sqrt(x)+sqrt(x+3)=sqrt(x+8) is x=1
Solve for x: sqrt(x)+sqrt(x+3)=sqrt(x+8)
The solution is x=1