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

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

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sqrt(x)+x-10=2-x-sqrt(x)

x + x - 10 = 2 - x - x

x = 4

Solution steps

x + x - 10 = 2 - x - x

Move

x

to the right side

x - 10 = - 2 x - x + 2

Move

10

to the right side

x = 12 - 2 x - x

Move

x

to the left side

2 x = 12 - 2 x

Divide both sides by

2

x = 6 - x

Square both sides:

x = 36 - 12 x + x^{2}

x = 36 - 12 x + x^{2}

Solve

x = 36 - 12 x + x^{2} : x = 9, x = 4

x = 9, x = 4

Verify Solutions:

x = 9

False

, x = 4

True

The solution is

x = 4

16 - x^{2} = 4 - x

2 x^{2} + 3 x - 2 = 0

\frac{1}{2} u = u

a (x) = - x + 3

x + x = 2 x - 12

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