What is the answer to (x-1)^{1/2}=(x-3) ?

The answer to (x-1)^{1/2}=(x-3) is x=5

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(x-1)^{1/2}=(x-3)

(x - 1)^{\frac{1}{2}} = (x - 3)

x = 5

Solution steps

(x - 1)^{\frac{1}{2}} = (x - 3)

Square both sides:

x - 1 = x^{2} - 6 x + 9

x - 1 = x^{2} - 6 x + 9

Solve

x - 1 = x^{2} - 6 x + 9 : x = 5, x = 2

x = 5, x = 2

Verify Solutions:

x = 5

True

, x = 2

False

The solution is

x = 5

x + 1 + x - 1 = 2

x + 1 + x - 1 = 1

12 - x + 3 = 15

\frac{x ^{\frac{1}{3}} + 2 x ^{2}}{3 - x} = 0

x = x + 6

What is the answer to (x-1)^{1/2}=(x-3) ?
The answer to (x-1)^{1/2}=(x-3) is x=5
Solve for x: (x-1)^{1/2}=(x-3)
The solution is x=5