In this lesson I will teach you how to solve a quadratic equation by using square roots. Let’s get some basic facts down so you can see the big picture about quadratic equations early on. First a quadratic equation will always have 2 solutions- always. Unlike a linear equation like x + 7 = 10 where x = 3 is the only solution a quadratic equation will have two answers (much more on this later in the chapter). Second we only use the method of taking the square roots of both sides on certain problems- it does not apply in many situations. So now that we got some “basics” out of the way I can introduce you to this method. Basically it’s quite easy all we do is take the square root of both sides of quadratic equation (after certain conditions are in place) and we have our solutions. The lesson will explain all the details on how we set up and solve problems using this technique. You will be required to solve many, many quadratic equations in algebra so learn each method well and practice, practice, practice!

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- Absolute Value Inequalities
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- Factoring Greatest Common Factor
- Factoring Quadratic Trinomials
- Finding The LCD of Rational Expressions
- Formulas and Literal Equations
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- Find The Equation of a Line: Given Slope and a Point
- Find The Equation of a Line: Given Two Points
- Graphing Absolute Value Equations
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- Graphing Lines With Two Variables
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- Graphing Quadratic Inequalities
- How to Plan and Write a Proof
- Identity and Inverse Matrices
- Inscribed Circles
- Introduction to Absolute Value
- Introduction to Circles and Tangents
- Introduction to Fractions and Decimals
- Introduction to Functions and Relations
- Introduction to Logarithms
- Introduction to Matrices
- Introduction to Polygons
- Introduction to Polynomials
- Introduction to Quadratic Equations
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- Least Common Multiple / Denominator
- Line Segments and Rays
- Linear and Nonlinear Functions
- Linear Inequalities
- Linear Models / Word Problems
- Linear Programming
- Matrix Multiplication
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- More on Angles and Lines
- Multiplying and Dividing Fractions
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- Multiplying and Dividing Real Numbers
- Multiplying Polynomials
- Multiplying Polynomials Special Cases
- Natural Logarithms
- Negative and Zero Exponents Rules
- Number Operations
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- Order of Operations
- Other Angle Relationships in Circles
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- Parallelograms
- Percent
- Points-Lines-Planes
- Polynomial Division (Long and Synthetic)
- Product and Power Rules of Exponents
- Properties of Logarithms
- Properties of Parallel and Perpendicular Lines
- Proving Congruent Triangles: ASA and AAS Theorems
- Proving Congruent Triangles: HL Theorem
- Proving Congruent Triangles: SSS and SAS Theorem
- Proving Lines Parallel
- Proving Quadrilaterals are Parallelograms
- Quadratic Equation Word Problems
- Quadrilaterals-Triangles-Midpoints
- Rational Root Theorem (Rational Zero Test)
- Ratios and Proportions
- Ratios and Proportions (Geometry)
- Real Number System
- Reflections
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- Right Triangle Word Problems
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- Scientific Notation
- Segment Lengths and Circles
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- Similar Triangles
- Simplifying by Combining Like Terms
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- Simplifying Rational Expressions
- Slope Intercept Method
- Solving Absolute Value Equations
- Solving Exponential Equations
- Solving Linear System Word Problems
- Solving Logarithmic Equations
- Solving Multi-Step Equations
- Solving n-Degree Polynomial Equations
- Solving One-Step Equations
- Solving Polynomial Equations by Factoring
- Solving Quadratic Equations by Factoring
- Solving Quadratic Equations by Square Roots
- Solving Radical Equations
- Solving Rational Equations
- Solving Systems by Elimination-Combination Method
- Solving Systems by Graphing
- Solving Systems of Linear Inequalities
- Solving Systems Substitution Method
- Solving Systems using Cramer’s Rule
- Solving Systems using Inverse Matrices
- Solving Two Step Equations
- Special Factoring Rules
- Special Functions
- Special Linear Systems
- Special Quadrilaterals
- Special Right Triangles
- Standard Form of Linear Equations
- Subtracting Real Numbers
- Sum and Difference of Two Cubes
- Surface Area of Basic Figures
- The Discriminant- Type of Roots
- The Distance and Mid-Point Formulas
- The Natural Base e
- The Pythagorean Theorem
- The Quadratic Formula
- The Slope of a Line
- Theorems and Postulates
- Translating Verbal and Algebraic Phrases
- Translations and Guide Reflections
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- Using Point-Slope Intercept
- Using Slope-Intercept Form
- Variables
- Volume of Basic Figures
- XY Intercept Method