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Popular >

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

Solution

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

Solution

x = 6

Solution steps

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

Square both sides:

2 x - 3 = x^{2} - 6 x + 9

2 x - 3 = x^{2} - 6 x + 9

Solve

2 x - 3 = x^{2} - 6 x + 9 : x = 6, x = 2

x = 6, x = 2

Verify Solutions:

x = 6

True

, x = 2

False

The solution is

x = 6

Popular Examples

x - 3 = x - 9

3 = 2 x - 1

sqrt(x^2+2x-25)=sqrt(x+5)

x^{2} + 2 x - 25 = x + 5

2 x - 1 - 5 = 0

64=(x^2)/(sqrt(x))

64 = \frac{x ^{2}}{x}

Frequently Asked Questions (FAQ)

What is the answer to (2x-3)^{1/2}=x-3 ?
The answer to (2x-3)^{1/2}=x-3 is x=6
Solve for x: (2x-3)^{1/2}=x-3
The solution is x=6