Solving Quadratic Equations
Instructions
- The first videos below explain the concepts in this section.
- This page also includes exercises that you should attempt to solve yourself. You can check your answers and watch the videos explaining how to solve the exercises.
Concepts
- The standard form for a quadratic equation and the possible number of solutions
- Solving quadratic equations with the difference of two squares formula
- Solving quadratic equations by factoring
- Solving quadratic equations with the quadratic formula and discussing the number of possible solutions
Exercises
Directions: You should attempt to solve the problems first and then watch the video to see the solution.
- Solve the following equations.
- \(x^2-4=0\)
- \(25x^2-7=0\)
- \(x^4-9=0\)
- Solve the following equations.
- \(x^2-5x+6=0\)
- \(x^2+10x+16=0\)
- \(x^2-4x-12=0\)
- Solve the following equation: \(2x^2-7x-4=0\)
4. Solve the following equation: \(10x^2=3(13x+9)\)
- Solve the following equations. How many real solutions did you find?
- \(2x^2-2x-11=0\)
- \(2x^2-4\sqrt{3}x+6=0\)
- Show the quadratic equation \(3x^2-x+7=0\) does not have a real solution. Explain why.
Next Section
If you are working through the Algebra Series in order, then you have finished the sections on Quadratics. Next you should try the Quadratics Quiz to test how well you learned the material.
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