Complex 1303: quadratic/cubic/quartic equations (basic)

In this question, we solve quadratic/cubic/quartic equations. One complex root will be given and we will be required to find all the other roots.

Question types

1. solving a cubic equation with known real coefficients.
   We will also be verifying that a given complex number is a root to the equation
2. solving a cubic equation with unknown real coefficients
3. solving a quartic equation with real coefficients, where the 4 roots are made up of two complex conjugate pairs
4. solving a quartic equation with real coefficients, where the 4 roots are made up of two real roots and a pair of complex conjugate roots
5. solving a quadratic equation with complex coefficients, where the leading coefficient is 1
6. solving a quadratic equation with complex coefficients, where the leading coefficient is $i$

App preview

Access the app at https://1303.vercel.app.