A quadratic equation is a polynomial equation of degree 2 with at most two solutions. Quadratic equations appear frequently in physics, engineering, a
syllab.in · free
❓ Quick answer
What does the discriminant tell us?
The discriminant b^2 minus 4ac determines the nature of roots. If positive, two distinct real roots. If zero, one repeated real root. If negative, two complex conjugate roots with no real solutions.
❓ Quick answer
Can a quadratic have more than 2 solutions?
No, a quadratic equation can have at most 2 solutions. This is guaranteed by the Fundamental Theorem of Algebra which states a polynomial of degree n has exactly n roots counting complex and repeated roots.
❓ Quick answer
When should I use factoring versus the quadratic formula?
Use factoring if the roots are simple integers or fractions, as it is faster. Use the quadratic formula for all other cases or if factoring is difficult. The formula always works but may give irrational or complex answers.
Learn it fully — free
syllab.in