Related Topics:

Algebra Word Problems

Common Core (Algebra)

Common Core for Mathematics

### Suggested Learning Targets

Solve a quadratic equation using inspection - A-REI.4

In this lesson, you will learn how to solve a quadratic equation by inspection. Solve a quadratic by taking a square root - A-REI.4

In this lesson, you will learn how to solve a quadratic equation by taking a square root.

Solve a quadratic equation by factoring - A-REI.4

In this lesson, you will learn how to solve a quadratic equation by looking at the factored form of the equation. Solve a quadratic equation by completing the square - A-REI.4

In this lesson, you will learn how to solve a quadratic equation by completing the square. Solve a quadratic equation using the quadratic formula - A-REI.4

In this lesson, you will learn how to solve a quadratic equation using the quadratic formula. Determine the nature of the roots of a quadratic equation - A-REI.4

In this lesson, you will learn how to tell the nature of the roots of a quadratic by looking at the discriminant.

Algebra Word Problems

Common Core (Algebra)

Common Core for Mathematics

Examples, solutions, videos, and lessons to help High School students learn how to solve
quadratic equations by inspection (e.g., for *x*^{2}
= 49), taking square roots, completing the square, the quadratic
formula and factoring, as appropriate to the initial form of the
equation. Recognize when the quadratic formula gives complex
solutions and write them as *a* ± *bi* for
real numbers *a* and *b*.

- Solve quadratic equations in one variable by simple inspection, taking the square root, factoring, and completing the square.
- Understand why taking the square root of both sides of an equation yields two solutions.
- Use the quadratic formula to solve any quadratic equation, recognizing when the formula produces complex solutions. Write the solutions in the form a Ңi , where a and b are real numbers.
- Explain how complex solutions affect the graph of a quadratic equation.

Solve a quadratic equation using inspection - A-REI.4

In this lesson, you will learn how to solve a quadratic equation by inspection. Solve a quadratic by taking a square root - A-REI.4

In this lesson, you will learn how to solve a quadratic equation by taking a square root.

In this lesson, you will learn how to solve a quadratic equation by looking at the factored form of the equation. Solve a quadratic equation by completing the square - A-REI.4

In this lesson, you will learn how to solve a quadratic equation by completing the square. Solve a quadratic equation using the quadratic formula - A-REI.4

In this lesson, you will learn how to solve a quadratic equation using the quadratic formula. Determine the nature of the roots of a quadratic equation - A-REI.4

In this lesson, you will learn how to tell the nature of the roots of a quadratic by looking at the discriminant.

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