What is the answer to 3sqrt(x+8)-2sqrt(x-4)=8 ?

The answer to 3sqrt(x+8)-2sqrt(x-4)=8 is x= 584/25 ,x=8

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3sqrt(x+8)-2sqrt(x-4)=8

3 x + 8 - 2 x - 4 = 8

x = \frac{584}{25}, x = 8

Decimal Notation

x = 23.36, x = 8

Solution steps

3 x + 8 - 2 x - 4 = 8

Remove square roots

25 x^{2} + 240 x + 576 = 1024 x - 4096

Solve

25 x^{2} + 240 x + 576 = 1024 x - 4096 : x = \frac{584}{25}, x = 8

x = \frac{584}{25}, x = 8

Verify Solutions:

x = \frac{584}{25}

True

, x = 8

True

The solutions are

x = \frac{584}{25}, x = 8

x - 2 x - 8 = 8

2 x + 5 = 7

x, f = 2 x - 1 + 3

14 - 16 - x^{2} = x^{2}

8 x^{\frac{3}{2}} - 24 = 0

What is the answer to 3sqrt(x+8)-2sqrt(x-4)=8 ?
The answer to 3sqrt(x+8)-2sqrt(x-4)=8 is x= 584/25 ,x=8
Solve for x: 3sqrt(x+8)-2sqrt(x-4)=8
The solution is x= 584/25 ,x=8