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Imaginary Ivy

Imaginary IvyArcfolk · quadratics

Plays with a friend only she can see: complex solutions.

Complex Solutions

Complex solutions. In MathBound, the free Algebra I adventure game, Imaginary Ivy asks these problems, and the only way past is to solve them.

Part of More topics: taught by some textbooks beyond the usual course.

Play this battle free

10 questions, no sign-up, nothing saved. Climbs from the basics to harder questions.

What you will practice

Complex Solutions. Write the square root of a negative number with i.

Worked examples

Made by the game’s own question engine. Try each one, then open its steps.

Example 1 · Complex Solutions

Simplify:

- 36 + - 36

$12 i$
$6 i 2$
$12$
$- 12$

Show the worked steps

$- 36 = 6 i$ $and$ $- 36 = 6 i .$
$6 i + 6 i = 12 i .$

Answer: $12 i$

Example 2 · Complex Solutions

Simplify:

- 28

$- 27$
$27$
$4 i 7$
$2 i 7$

Show the worked steps

$- 28 = - 1 \cdot 4 \cdot 7 .$
$That$ $is$ $2 i 7 .$

Answer: $2 i 7$

Example 3 · Complex Solutions

Solve:

x^{2} = - 16

$x = \pm 4 i$
$no$ $solution$
$x = 4 i$
$x = \pm 4$

Show the worked steps

$Take$ $the$ $square$ $root$ $of$ $both$ $sides:$ $x = \pm - 16 .$
$- 16 = 4 i,$ $so$ $x = \pm 4 i .$

Answer: $x = \pm 4 i$

Where it is in your textbook

Textbook	Lessons
SpringBoard Algebra 1	32

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