What is the answer to sqrt(x+3)-sqrt(7-x)=sqrt(2x-8) ?

The answer to sqrt(x+3)-sqrt(7-x)=sqrt(2x-8) is x=5,x=6

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sqrt(x+3)-sqrt(7-x)=sqrt(2x-8)

x + 3 - 7 - x = 2 x - 8

x = 5, x = 6

Solution steps

x + 3 - 7 - x = 2 x - 8

Remove square roots

16 x - 4 x^{2} + 84 = 4 x^{2} - 72 x + 324

Solve

16 x - 4 x^{2} + 84 = 4 x^{2} - 72 x + 324 : x = 5, x = 6

x = 5, x = 6

Verify Solutions:

x = 5

True

, x = 6

True

The solutions are

x = 5, x = 6

7 x - 59 + 20 = 22

y, x + y = x + y

x + 2 + x - 3 = 5

\frac{3 x + 10 + 1}{2 - x + 3} = 3

b + 8 = b - 4

What is the answer to sqrt(x+3)-sqrt(7-x)=sqrt(2x-8) ?
The answer to sqrt(x+3)-sqrt(7-x)=sqrt(2x-8) is x=5,x=6
Solve for x: sqrt(x+3)-sqrt(7-x)=sqrt(2x-8)
The solution is x=5,x=6