Topics
2. Quadratic Functions & Equations
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United States of AmericaFL
Grade 912

2.04 The quadratic formula & discriminant

Lesson
Practice
Adaptive
Worksheet

Interactive practice questions

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

$x=\frac{-7\pm\sqrt{0}}{8}$x=−7±√08​

How many solutions does the equation have?

One unique real solution

A

No real solutions

B

Two real solutions

C
Easy
< 1min

To find the $x$x-intercepts of a particular parabola, $ax^2+bx+c=0$ax2+bx+c=0, Caitlin used the quadratic formula and found that $b^2-4ac=0$b2−4ac=0. How many $x$x-intercepts does the parabola have?

Easy
< 1min

Consider the equation $x^2+8x+16=0$x2+8x+16=0.

Easy
1min

Consider the equation $5x^2-4x+\frac{19}{5}=0$5x2−4x+195​=0.

Easy
1min
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Outcomes

MA.912.AR.3.2

Given a mathematical or real-world context, write and solve one-variable quadratic equations over the real and complex number systems.

MA.912.AR.3.8

Solve and graph mathematical and real-world problems that are modeled with quadratic functions. Interpret key features and determine constraints in terms of the context.

MA.912.NSO.2.1

Extend previous understanding of the real number system to include the complex number system. Add, subtract, multiply and divide complex numbers.

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