What is the answer to -3=sqrt(22-x)-sqrt(3x-3) ?

The answer to -3=sqrt(22-x)-sqrt(3x-3) is x=13

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-3=sqrt(22-x)-sqrt(3x-3)

- 3 = 22 - x - 3 x - 3

x = 13

Solution steps

- 3 = 22 - x - 3 x - 3

Remove square roots

108 x - 108 = 16 x^{2} - 128 x + 256

Solve

108 x - 108 = 16 x^{2} - 128 x + 256 : x = 13, x = \frac{7}{4}

x = 13, x = \frac{7}{4}

Verify Solutions:

x = 13

True

, x = \frac{7}{4}

False

The solution is

x = 13

\frac{1}{2 x} - \frac{1}{3} = 0

74 - 10 x = x - 9

2 - x = x

2 x + 1 = 5 x - 32

\frac{10 - 5 x}{3 x ^{\frac{1}{3}}} = 0

What is the answer to -3=sqrt(22-x)-sqrt(3x-3) ?
The answer to -3=sqrt(22-x)-sqrt(3x-3) is x=13
Solve for x: -3=sqrt(22-x)-sqrt(3x-3)
The solution is x=13