The quadratic equation x^2 - 2x + 1 has only one solution.
Given,
x^2-2x+1
We need to find how many solutions this equation has.
What is a solution in an equation?
If a quadratic equation is given by x^2 - ax + b
The value of x is called its solutions.
We have,
x^2-2x+1
Applying middle-term factorization
Let x^2 - 2x + 1 = 0
x^2 - (1 + 1)x + 1 = 0
x^2 - x - x + 1 = 0
x(x - 1) - 1(x - 1) = 0
(x - 1)(x - 1) = 0
x - 1 = 0 and x - 1 = 0
x = 1 and x = 1
x = 1 is the only solution.
The quadratic equation x^2 - 2x + 1 has only one solution.
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