What is the answer to sqrt(3x+4)-sqrt(x-4)=4 ?

The answer to sqrt(3x+4)-sqrt(x-4)=4 is x=20,x=4

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sqrt(3x+4)-sqrt(x-4)=4

3 x + 4 - x - 4 = 4

x = 20, x = 4

Solution steps

3 x + 4 - x - 4 = 4

Remove square roots

4 x^{2} - 32 x + 64 = 64 x - 256

Solve

4 x^{2} - 32 x + 64 = 64 x - 256 : x = 20, x = 4

x = 20, x = 4

Verify Solutions:

x = 20

True

, x = 4

True

The solutions are

x = 20, x = 4

5 - x + 1 = x - 2

x = 8

x^{2} - x = 0

3 2 x - 3 + 2 7 - x = 11

x^{\frac{3}{2}} = 64

What is the answer to sqrt(3x+4)-sqrt(x-4)=4 ?
The answer to sqrt(3x+4)-sqrt(x-4)=4 is x=20,x=4
Solve for x: sqrt(3x+4)-sqrt(x-4)=4
The solution is x=20,x=4