What is the answer to sqrt(7x+9)=6+sqrt(x+9) ?

The answer to sqrt(7x+9)=6+sqrt(x+9) is x=16

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sqrt(7x+9)=6+sqrt(x+9)

7 x + 9 = 6 + x + 9

x = 16

Solution steps

7 x + 9 = 6 + x + 9

Remove square roots

36 x^{2} - 432 x + 1296 = 144 x + 1296

Solve

36 x^{2} - 432 x + 1296 = 144 x + 1296 : x = 16, x = 0

x = 16, x = 0

Verify Solutions:

x = 16

True

, x = 0

False

The solution is

x = 16

x + 2 - x + 7 = 5

4 x^{2} - 12 x + 9 = 3

35 - 2 x = x

1 - 20 x - 2 x + 1 = 3

27 - 6 x = x

What is the answer to sqrt(7x+9)=6+sqrt(x+9) ?
The answer to sqrt(7x+9)=6+sqrt(x+9) is x=16
Solve for x: sqrt(7x+9)=6+sqrt(x+9)
The solution is x=16