Solve quadratic equations in one variable.

a. 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.
b. Solve quadratic equations by inspection (e.g., for x2=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.     

Category: Algebra
Domain:Reasoning with Equations and Inequalities
Cluster: Understand solving equations as a process of reasoning and explain the reasoning


All Standards    Common Core Standards 8-12


Page last modified on January 02, 2011, at 01:12 PM