What is the answer to sqrt(2x-1)+sqrt(x+4)=3sqrt(x-1) ?

The answer to sqrt(2x-1)+sqrt(x+4)=3sqrt(x-1) is x=5

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sqrt(2x-1)+sqrt(x+4)=3sqrt(x-1)

2 x - 1 + x + 4 = 3 x - 1

x = 5

Solution steps

2 x - 1 + x + 4 = 3 x - 1

Remove square roots

8 x^{2} + 28 x - 16 = 36 x^{2} - 144 x + 144

Solve

8 x^{2} + 28 x - 16 = 36 x^{2} - 144 x + 144 : x = \frac{8}{7}, x = 5

x = \frac{8}{7}, x = 5

Verify Solutions:

x = \frac{8}{7}

False

, x = 5

True

The solution is

x = 5

x - 10 = x + 3

x + 1 + 3 = 2 x + 5

- 6 x + 30 = x - 5

y, x = 1 + 1 - y^{2}

4 3 x + 7 = 4 2 x + 13

What is the answer to sqrt(2x-1)+sqrt(x+4)=3sqrt(x-1) ?
The answer to sqrt(2x-1)+sqrt(x+4)=3sqrt(x-1) is x=5
Solve for x: sqrt(2x-1)+sqrt(x+4)=3sqrt(x-1)
The solution is x=5