topic badge
India
Class XI

Solving Equations with Complex Solutions

Interactive practice questions

Find all the complex solutions of $x^2=-4$x2=4.

Write all the solutions in the form $a+ib$a+ib on the same line, separating each one with a comma.

Easy
1min

Find all the complex solutions of $x^3=-64$x3=64.

Write all the solutions in the form $a+ib$a+ib on the same line, separating each one with a comma.

Easy
4min

Find all the complex solutions of $x^3=125$x3=125.

Write all the solutions in the form $a+ib$a+ib on the same line, separating each one with a comma.

Easy
3min

Find all the complex solutions of $x^2=-12$x2=12.

Write all the solutions in the form $a+ib$a+ib on the same line, separating each one with a comma.

Easy
1min
Sign up to access Practice Questions
Get full access to our content with a Mathspace account

Outcomes

11.A.CNQE.1

Need for complex numbers, especially √-1, to be motivated by inability to solve every quadratic equation. Brief description of algebraic properties of complex numbers. Argand plane and polar representation of complex numbers. Statement of Fundamental Theorem of Algebra, solution of quadratic equations in the complex number system.

What is Mathspace

About Mathspace