What is the answer to sqrt(5a-1)-sqrt(8-2a)=1 ?

The answer to sqrt(5a-1)-sqrt(8-2a)=1 is a=2

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sqrt(5a-1)-sqrt(8-2a)=1

5 a - 1 - 8 - 2 a = 1

a = 2

Solution steps

5 a - 1 - 8 - 2 a = 1

Remove square roots

49 a^{2} - 140 a + 100 = 32 - 8 a

Solve

49 a^{2} - 140 a + 100 = 32 - 8 a : a = 2, a = \frac{34}{49}

a = 2, a = \frac{34}{49}

Verify Solutions:

a = 2

True

, a = \frac{34}{49}

False

The solution is

a = 2

\frac{2}{x} = 3

x, y = 2 x^{2} + 10

0 = 15.2778 + x^{3.9}

2 x - x + 3 = 9

What is the answer to sqrt(5a-1)-sqrt(8-2a)=1 ?
The answer to sqrt(5a-1)-sqrt(8-2a)=1 is a=2
Solve for a: sqrt(5a-1)-sqrt(8-2a)=1
The solution is a=2