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#### Description:

This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: Renee reasons as follows to solve the equation $x^2 + x + 1 = 0$. First I will rewrite this as a square plus some number. x^2 + x + 1 = \left(x+\frac{1...

#### Subjects:

• Mathematics > General
• Education > General

#### Keywords:

Informal Education,NSDL,NSDL_SetSpec_ncs-NSDL-COLLECTION-000-003-112-103,oai:nsdl.org:2200/20140110185519050T,High School,Vocational/Professional Development Education,Mathematics,Education

English

#### Access Privileges:

Public - Available to anyone

Creative Commons Attribution Non-Commercial Share Alike

#### Collections:

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Update Standards?

#### CCSS.Math.Content.HSN-CN.C.7: Common Core State Standards for Mathematics

Solve quadratic equations with real coefficients that have complex solutions.

#### CCSS.Math.Content.HSA-REI.B.4a: Common Core State Standards for Mathematics

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.
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