3. Quadratic Equations

3.01 Solving using graphs and tables

3.02 Solving by factoring

3.03 Solving using square roots

3.04 Solving using the quadratic formula

3.05 Solving using appropriate methods

3.06 Linear-quadratic systems

3.07 Quadratic inequalities

3.08 Operations with complex numbers

3.09 Quadratic equations with complex solutions

United States of America

Grades 9-12

3.02 Solving by factoring

Adaptive

Worksheet

Interactive practice questions

Solve $x^2+5x-14=0$x2+5x−14=0 for $x$x by factoring or otherwise.

Write each solution on the same line, separated by a comma.

Medium

1min

Solve $x^2+19x+88=0$x2+19x+88=0 for $x$x by factoring or otherwise.

Enter each solution on the same line, separated by a comma.

Medium

1min

Solve the equation for $x$x:

$x^2+19x+90=0$x2+19x+90=0

Medium

1min

Solve for $x$x:

$x^2-17x+72=0$x2−17x+72=0

Medium

1min

Outcomes

A.SSE.B.3.A

Factor a quadratic expression to reveal the zeros of the function it defines.

A.CED.A.1

Create equations and inequalities in one variable and use them to solve problems.

A.CED.A.2

Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.

A.REI.B.4

Solve quadratic equations in one variable.

A.REI.B.4.B

Solve quadratic equations by inspection (e.g. For x^2 = 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.

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