Topics
2. Complex Numbers & Quadratics
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United States of AmericaPA
High School Core Standards - Algebra II Assessment Anchors

2.07 The discriminant and the quadratic formula

Lesson
Practice

Interactive practice questions

Below is the result after using the quadratic formula to solve an equation.

$x=\frac{10\pm\sqrt{-1}}{8}$x=10±√−18​

The equation has two real solutions.

A

The equation has one real solution.

B

The equation has no real solution.

C
Easy
< 1min

Consider the equation $x^2+6x+9=0$x2+6x+9=0.

Easy
1min

Consider the equation $4x^2-6x+7=0$4x2−6x+7=0.

Easy
1min

Which of the following equations does not have any real solutions?

Easy
1min
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Outcomes

CC.2.1.HS.F.7

Apply concepts of complex numbers in polynomial identities and quadratic equations to solve problems.

CC.2.2.HS.D.9

Use reasoning to solve equations and justify the solution method.

A2.1.3.1.1

Write and/or solve quadratic equations (including factoring and using the Quadratic Formula).

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