What is the answer to 2sqrt(x+2)-sqrt(x-3)=sqrt(x+9) ?

The answer to 2sqrt(x+2)-sqrt(x-3)=sqrt(x+9) is x=7

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2sqrt(x+2)-sqrt(x-3)=sqrt(x+9)

2 x + 2 - x - 3 = x + 9

x = 7

Solution steps

2 x + 2 - x - 3 = x + 9

Remove square roots

16 x^{2} - 16 x - 96 = 16 x^{2} - 32 x + 16

Solve

16 x^{2} - 16 x - 96 = 16 x^{2} - 32 x + 16 : x = 7

x = 7

Verify Solutions:

x = 7

True

The solution is

x = 7

2 x + 5 = 3 x - 1

y, x^{\frac{1}{2}} + y^{\frac{1}{2}} = 16

x - 1 = 7

x, \frac{( y ^{3} + y x ^{2} - 4 x )}{x + 1} = 0

What is the answer to 2sqrt(x+2)-sqrt(x-3)=sqrt(x+9) ?
The answer to 2sqrt(x+2)-sqrt(x-3)=sqrt(x+9) is x=7
Solve for x: 2sqrt(x+2)-sqrt(x-3)=sqrt(x+9)
The solution is x=7