Table of contents

0. Review of Algebra4h 16m
1. Equations & Inequalities3h 18m
2. Graphs of Equations43m
3. Functions2h 17m
4. Polynomial Functions1h 44m
5. Rational Functions1h 23m
6. Exponential & Logarithmic Functions2h 28m
7. Systems of Equations & Matrices4h 6m
8. Conic Sections2h 23m
9. Sequences, Series, & Induction1h 19m
10. Combinatorics & Probability1h 45m

1. Equations & Inequalities

The Quadratic Formula

College Algebra

1. Equations & Inequalities

The Quadratic Formula

0:55 minutes

Problem 26

Textbook Question

Solve each equation using the square root property. See Example 2. x^2 = 121

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Square Root Property

The square root property states that if x^2 = a, then x can be expressed as x = ±√a. This property allows us to solve quadratic equations by taking the square root of both sides, leading to two possible solutions: one positive and one negative.

Quadratic Equations

Quadratic equations are polynomial equations of the form ax^2 + bx + c = 0, where a, b, and c are constants and a ≠ 0. They can be solved using various methods, including factoring, completing the square, and applying the square root property when the equation is in the form x^2 = k.

Isolating the Variable

Isolating the variable involves rearranging an equation to get the variable on one side and the constants on the other. In the context of the square root property, this means ensuring that the equation is in the form x^2 = a before applying the property to find the values of x.