What is the answer to sqrt(5y+4)-sqrt(y+16)=2 ?

The answer to sqrt(5y+4)-sqrt(y+16)=2 is y=9

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sqrt(5y+4)-sqrt(y+16)=2

5 y + 4 - y + 16 = 2

y = 9

Solution steps

5 y + 4 - y + 16 = 2

Remove square roots

16 y^{2} - 128 y + 256 = 16 y + 256

Solve

16 y^{2} - 128 y + 256 = 16 y + 256 : y = 9, y = 0

y = 9, y = 0

Verify Solutions:

y = 9

True

, y = 0

False

The solution is

y = 9

x^{x} = 16

64 + \frac{5}{x} + 8 = 0

9 x - 2 = 5

x, 2 x - 5 = x

5 x + 4 = 2 x + 1

What is the answer to sqrt(5y+4)-sqrt(y+16)=2 ?
The answer to sqrt(5y+4)-sqrt(y+16)=2 is y=9
Solve for y: sqrt(5y+4)-sqrt(y+16)=2
The solution is y=9