IXL - Solve a quadratic equation with complex solutions (Algebra 1 practice)

Solve for

–

Write your answer in simplified, rationalized form.

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Solve for

–

Write your answer in simplified, rationalized form.

	Solutions of x 2 = a
a > 0	Two real solutions: x = a and x = – a
a = 0	One real solution: x = 0
a < 0	Two imaginary solutions: x = 𝑖 absolute value bar a absolute value bar and x = – 𝑖 absolute value bar a absolute value bar

To solve the equation

–

take the square root of both sides. Since

–

is negative, the solutions will be imaginary numbers.

Take the square root of both sides

–

Take the square root of both sides

Factor out 𝑖

𝑖

Factor out 𝑖

Simplify

3𝑖

Simplify

So, there are two imaginary solutions:

3𝑖

and

–

𝑖

$Confetti$

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