How many roots are there in quadratic equation

And if b 2 — 4 ac is 0, then you have , so you have only one solution. Hey now, stop it with that lip, Subheading. Why not just say "Sample Problem" like you usually do? Anyway, the discriminant for this equation is. That's negative, so there are two complex roots for this equation.

Also, the calculator was in the Shmoop massage room, next to a pile of Algebra textbooks. In case you were wondering. Quadratic Formula and Functions. How Many Roots? Two real roots: or. Two imaginary roots:. When the discriminant is greater than 0, there are two distinct real roots. When the discriminant is equal to 0, there is exactly one real root. When the discriminant is less than zero, there are no real roots, but there are exactly two distinct imaginary roots. In this case, we have two real roots.

Exact Roots:. In this case, we have two distinct imaginary roots. In other words, our two distinct imaginary roots are and. Two distinct real roots:. Two distinct imaginary roots:. In this case, there is exactly one real root. Because , this simplifies to. We can further simplify this to. If you've found an issue with this question, please let us know. With the help of the community we can continue to improve our educational resources.

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Explanation : This is false. Possible Answers: Discriminant: 0 One real root:. Also, find the other root. Introduction to Quadratic Equation. Formation of Quadratic Equation in One Variable. Solving Quadratic Equations. General Properties of Quadratic Equation. Methods of Solving Quadratic Equations. Roots of a Quadratic Equation. Examine the Roots of a Quadratic Equation. Problems on Quadratic Equations.