Rubyleilani010605idn
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what is the solution of x equals 2 + sqrt x - 2
a.) x=2
b.)x=3
c.)x=2 or x=3
d.) no solution​

What Is The Solution Of X Equals 2 Sqrt X 2a X2bx3cx2 Or X3d No Solution class=

Sagot :

Answer: c. x=2 or x=3

Hope this helped! :)
Jcherry99idn

Answer:

x = 2 or x = 3

Step-by-step explanation:

x = 2 + sqrt(x - 2)

x - 2 = sqrt(x - 2)                  You could divide both sides by sqrt(x - 2)

sqrt(x - 2) = 1                        Square both sides

x - 2 = 1                                Add 2 to both sides

x = 3

There is a second way.

x - 2 = sqrt(x - 2)                 Square

x^2 - 4x + 4 = x - 2             Transfer x - 2 to the left

x^2 - 5x + 6 = 0                   Factor

(x - 2)(x-3)      = 0                 Find the roots.

x - 2 = 0

x = 2

x - 3 = 0

x = 3

We have to check both results.

x = 2 + sqrt(x - 2)

2 = 2 + sqrt(2 -2)

2 = 2 + 0

2 = 2    This seems to work.

x = 2 + sqrt(x - 2)

3 = 2 + sqrt(3 - 2)

3 = 2 + sqrt(1)

3 = 2 + 1

3 = 3  And this works.

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