Math Problem Statement

(x*x)-2x+1=0

Solution

The equation you provided is:

x22x+1=0x^2 - 2x + 1 = 0

This is a quadratic equation of the form ax2+bx+c=0ax^2 + bx + c = 0, where a=1a = 1, b=2b = -2, and c=1c = 1.

Solution:

We can solve this quadratic equation using factoring, as it can be factored easily:

x22x+1=(x1)(x1)=0x^2 - 2x + 1 = (x - 1)(x - 1) = 0

Thus, the equation becomes:

(x1)2=0(x - 1)^2 = 0

Solving for xx:

x1=0x=1x - 1 = 0 \quad \Rightarrow \quad x = 1

Conclusion:

The solution to the equation x22x+1=0x^2 - 2x + 1 = 0 is:

x=1x = 1


Would you like more details on how factoring works here? Or have any other questions? Here are some related questions you can explore:

  1. How would you solve a quadratic equation using the quadratic formula?
  2. What is the discriminant of a quadratic equation, and how does it affect the solutions?
  3. How do you complete the square to solve a quadratic equation?
  4. What is the general form of a quadratic equation and its applications?
  5. Can a quadratic equation have complex solutions? If so, how?

Tip: Always check if a quadratic can be factored easily before applying more complex methods like the quadratic formula. It saves time!

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Algebra
Quadratic Equations
Factoring

Formulas

Quadratic equation formula ax^2 + bx + c = 0
(x - 1)^2 = 0

Theorems

Factoring quadratic equations

Suitable Grade Level

Grades 7-9