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
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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 ± √∆|