What is the answer to sqrt(x-10)=4-sqrt(2x-24) ?

The answer to sqrt(x-10)=4-sqrt(2x-24) is x=14

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sqrt(x-10)=4-sqrt(2x-24)

x - 10 = 4 - 2 x - 24

x = 14

Solution steps

x - 10 = 4 - 2 x - 24

Remove square roots

x^{2} + 4 x + 4 = 128 x - 1536

Solve

x^{2} + 4 x + 4 = 128 x - 1536 : x = 110, x = 14

x = 110, x = 14

Verify Solutions:

x = 110

False

, x = 14

True

The solution is

x = 14

5 x + 11 - 9 = - 8

8 x - 47 - 3 = 0

3 x + 1 - x + 8 = 1

57 - 3 x = x - 1

x - 7 - 10 = - 9

What is the answer to sqrt(x-10)=4-sqrt(2x-24) ?
The answer to sqrt(x-10)=4-sqrt(2x-24) is x=14
Solve for x: sqrt(x-10)=4-sqrt(2x-24)
The solution is x=14