What is the answer to sqrt(7x+2)-sqrt(3x+6)=6 ?

The answer to sqrt(7x+2)-sqrt(3x+6)=6 is x=46

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sqrt(7x+2)-sqrt(3x+6)=6

7 x + 2 - 3 x + 6 = 6

x = 46

Solution steps

7 x + 2 - 3 x + 6 = 6

Remove square roots

16 x^{2} - 320 x + 1600 = 432 x + 864

Solve

16 x^{2} - 320 x + 1600 = 432 x + 864 : x = 46, x = 1

x = 46, x = 1

Verify Solutions:

x = 46

True

, x = 1

False

The solution is

x = 46

3 x + 5 - 2 x + 3 = x + 2

v + 3 - 1 = 7

3 x - x^{2} + 1 = 5

\frac{3 x + 10}{2 x + 5} = 0

What is the answer to sqrt(7x+2)-sqrt(3x+6)=6 ?
The answer to sqrt(7x+2)-sqrt(3x+6)=6 is x=46
Solve for x: sqrt(7x+2)-sqrt(3x+6)=6
The solution is x=46