What is the answer to sqrt(9x-2)-sqrt(10-2x)=3 ?

The answer to sqrt(9x-2)-sqrt(10-2x)=3 is x=3

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sqrt(9x-2)-sqrt(10-2x)=3

9 x - 2 - 10 - 2 x = 3

x = 3

Solution steps

9 x - 2 - 10 - 2 x = 3

Remove square roots

121 x^{2} - 462 x + 441 = 360 - 72 x

Solve

121 x^{2} - 462 x + 441 = 360 - 72 x : x = 3, x = \frac{27}{121}

x = 3, x = \frac{27}{121}

Verify Solutions:

x = 3

True

, x = \frac{27}{121}

False

The solution is

x = 3

x - 2 = 5

16 = 2 x^{\frac{3}{2}}

- 3 + (3 - 2 x)^{\frac{5}{4}} = 29

a^{2} = 17

What is the answer to sqrt(9x-2)-sqrt(10-2x)=3 ?
The answer to sqrt(9x-2)-sqrt(10-2x)=3 is x=3
Solve for x: sqrt(9x-2)-sqrt(10-2x)=3
The solution is x=3