What is the answer to sqrt(x)+sqrt(3x+4)=sqrt(9x) ?

The answer to sqrt(x)+sqrt(3x+4)=sqrt(9x) is x=4

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sqrt(x)+sqrt(3x+4)=sqrt(9x)

x + 3 x + 4 = 9 x

x = 4

Solution steps

x + 3 x + 4 = 9 x

Remove square roots

12 x^{2} + 16 x = 25 x^{2} - 40 x + 16

Solve

12 x^{2} + 16 x = 25 x^{2} - 40 x + 16 : x = 4, x = \frac{4}{13}

x = 4, x = \frac{4}{13}

Verify Solutions:

x = 4

True

, x = \frac{4}{13}

False

The solution is

x = 4

n = 12 - n

8 = \frac{4}{y}

10 - 3 x - x = 0

5 + 3 x + 7 = x + 6

What is the answer to sqrt(x)+sqrt(3x+4)=sqrt(9x) ?
The answer to sqrt(x)+sqrt(3x+4)=sqrt(9x) is x=4
Solve for x: sqrt(x)+sqrt(3x+4)=sqrt(9x)
The solution is x=4