Topics
3. Solving Quadratic Equations
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United States of AmericaTennessee
Integrated Math 2

3.03 Solving quadratic equations using square roots

Lesson
Practice
Adaptive
Worksheet

Interactive practice questions

How many real solutions does the following equation have?

a

$x^2-64=0$x2−64=0

None

A

1 solution

B

2 solutions

C

More than 2 solutions

D
b

$x^2+64=0$x2+64=0

None

A

1 solution

B

2 solutions

C

More than 2 solutions

D
Easy
< 1min

Solve the equation $x^2=25$x2=25.

Write all solutions on the same line, separated by commas.

Easy
< 1min

Solve the following equation for $x$x:

$x^2=81$x2=81

Easy
< 1min

Solve for $x$x:

$x^2-25=0$x2−25=0

Easy
< 1min
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Outcomes

M2.A.CED.A.1

Create equations and inequalities in one variable and use them to solve problems in a real-world context.*

M2.A.REI.B.2

Solve quadratic equations and inequalities in one variable.

M2.A.REI.B.2.A

Solve quadratic equations by inspection (e.g., for x^2 = 49), taking square roots, knowing and applying the quadratic formula, and factoring, as appropriate to the initial form of the equation. Recognize when a quadratic equation has solutions that are not real numbers.

M2.MP1

Make sense of problems and persevere in solving them.

M2.MP3

Construct viable arguments and critique the reasoning of others.

M2.MP6

Attend to precision.

M2.MP7

Look for and make use of structure.

M2.MP8

Look for and express regularity in repeated reasoning.

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