[PDF] Study Guide 2020 - Chapter 18: Passport to Advanced Math

When does a quadratic have no solution?

When working with quadratic equations, we often see one or two real solutions. However, it is also possible that a quadratic will have no real solution. So, when does a quadratic have no solution? A quadratic equation has no solution when the discriminant is negative. From an algebra standpoint, this means b2 < 4ac.

Do quadratic equations always have two real solutions?

When dealing with quadratic equations, we often see either two real solutions or two complex solutions. However, it is also possible that a quadratic will have exactly one solution. So, when does a quadratic have one solution? A quadratic equation has one solution when the discriminant is zero.

How to solve quadratic equation with complex roots?

Solving Quadratic Equations with Complex Roots Step 1: Identify a , b , and c in the quadratic equation {eq}ax^2 + bx + c = 0 {/eq}. Step 2: Substitute the values for a , b , and c into the ...

What are the 3 forms of a quadratic equation?

Well, quadratic equation basically has three different forms and the solution of these forms also vary. The three forms of the quadratic equation include the standard form, vertex form, and the intercept form at last. You have to study each form separately while studying the quadratic equation chapter in your academics.