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Study Guides > College Algebra CoRequisite Course

Introduction to Quadratic Equations

Learning Outcomes

By the end of this section, you will be able to:
  • Factor a quadratic equation to solve it.
  • Use the square root property to solve a quadratic equation.
  • Use the Pythagorean Theorem and the square root property to find the unknown length of the side of a right triangle.
  • Complete the square to solve a quadratic equation.
  • Use the quadratic formula to solve a quadratic equation.
  • Use the discriminant to determine the number and type of solutions to a quadratic equation.
Two televisions side-by-side. The right television is slightly larger than the left. The left computer monitor in the image above is a 23.6-inch model and the one on the right is a 27-inch model. Proportionally, the monitors appear very similar. If there is a limited amount of space and we desire the largest monitor possible, how do we decide which one to choose? In this section, we will learn how to solve problems such as this using four different methods.

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