Question

How many solutions does the quadratic equation x^2-2x+1 have?

Answer 1

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.

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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.

Learn more about the solution of a quadratic equation here:

brainly.com/question/17376136

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