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

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

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

9 b - 2 - 10 - 2 b = 3

b = 3

Solution steps

9 b - 2 - 10 - 2 b = 3

Remove square roots

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

Solve

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

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

Verify Solutions:

b = 3

True

, b = \frac{27}{121}

False

The solution is

b = 3

2 x - 5 = 1 + x - 3

z = 23

x - 10 = 10 - x

x + 24 = x - 6

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