Answered

Welcome to Westonci.ca, your one-stop destination for finding answers to all your questions. Join our expert community now! Our Q&A platform provides quick and trustworthy answers to your questions from experienced professionals in different areas of expertise. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

Write a quadratic equation that has two imaginary solutions

Sagot :

We are asked to determine a quadratic equation that has two imaginary solutions. Let's suppose that the solution of the equation is the following:

[tex]x=\pm i[/tex]

This means that the two imaginary solutions are "i" and "-i". Now, we use the following:

[tex]\pm i=\sqrt[]{-1}[/tex]

Substituting we get:

[tex]x=\sqrt[]{-1}[/tex]

Squaring both sides:

[tex]x^2=-1[/tex]

Now, we add 1 to both sides:

[tex]x^2+1=0[/tex]

And thus we have obtained a quadratic equation with two imaginary solutions.

We appreciate your visit. Hopefully, the answers you found were beneficial. Don't hesitate to come back for more information. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.