Common Core: HSA-REI.B.4b

Related Topics:

Algebra Word Problems

Common Core (Algebra)

Common Core for Mathematics

Examples, solutions, videos, and lessons to help High School students learn how to use the method of completing the square to transform any quadratic equation in*x* into an equation of the form (*x* + *p*)^{2}*
= q* that has the same solutions. Derive the quadratic
formula from this form.
### Suggested Learning Targets

**The Quadratic Formula**

Use the Quadratic Formula to solve quadratic equations.

Verify the solutions to a quadratic equation graphically when possible.
**Quadratic Formula - Two Real Rational Solutions**

This video provides an example of how to solve a quadratic equation with two real rational solutions using the quadratic formula.

**Quadratic Formula - Two Real Irrational Solutions**

This video provides an example of how to solve a quadratic equation with two real irrational using the quadratic formula.
**Quadratic Formula - Two Real Irrational Solutions**

This video provides an example of how to solve a quadratic equation with two real irrational using the quadratic formula.**Quadratic Formula - Complex Solutions**

This video provides an example of how to solve a quadratic equation with complex solutions using the quadratic formula.**Complex Roots from the Quadratic Formula**

Related Topics:

Algebra Word Problems

Common Core (Algebra)

Common Core for Mathematics

Examples, solutions, videos, and lessons to help High School students learn how to use the method of completing the square to transform any quadratic equation in

- Transform a quadratic equation written in standard form to an
equation in vertex form (
*x*+*p*)^{2}*= q*by completing the square. - Derive the quadratic formula by completing the square on the standard form of a quadratic equation.

Use the Quadratic Formula to solve quadratic equations.

Verify the solutions to a quadratic equation graphically when possible.

This video provides an example of how to solve a quadratic equation with two real rational solutions using the quadratic formula.

This video provides an example of how to solve a quadratic equation with two real irrational using the quadratic formula.

This video provides an example of how to solve a quadratic equation with two real irrational using the quadratic formula.

This video provides an example of how to solve a quadratic equation with complex solutions using the quadratic formula.

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