Exercises. Quadratic equations.
These exercises will help to check how you are able to solve quadratic equations.
The solution of exercises is the best way to test your knowledge and understand studied material!
4x2 + 3 x - 4 = 0
You have to push the "Next task" button for move to the next task.
Attention!!! At move to the new task this example becomes inaccessible.
Rules. Quadratic equation and its solution
a x2 + b x + c = 0,where a ≠ 0.
a xi2 + b xi + c = 0.
∆ = b2 - 4 a c.
- If the discriminant is positive (∆ > 0), then there are two distinct roots, both of which are real numbers.
- If the discriminant is zero (∆ = 0), then there is exactly one distinct real root, sometimes called a double root (x1 = x2).
- If the discriminant is negative (∆ < 0), then there are no real roots.
The roots are given by the quadratic formula
|x1,2 =||-b ± √∆|
For the mentioned quadratic equation
x2 + px + q = 0root sum is equal to coefficient p which is drawn with the opposite sign and root’s product is equal to free term q:
x1 + x2 = -p;
x1x2 = q.
Add the comment