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Quadratic Equations : Algebra Video Lecture | Crash Course for CAT

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FAQs on Quadratic Equations : Algebra Video Lecture - Crash Course for CAT

1. What is a quadratic equation?
Ans. A quadratic equation is a second-degree polynomial equation in the form of ax^2 + bx + c = 0, where a, b, and c are constants with a not equal to 0.
2. How do you solve a quadratic equation?
Ans. Quadratic equations can be solved using various methods such as factoring, completing the square, or using the quadratic formula x = (-b ± √(b^2 - 4ac)) / 2a.
3. What is the discriminant of a quadratic equation?
Ans. The discriminant of a quadratic equation is the part of the quadratic formula under the square root sign, which is b^2 - 4ac. It determines the nature of the roots of the quadratic equation.
4. How many solutions can a quadratic equation have?
Ans. A quadratic equation can have two real solutions, one real solution, or two complex solutions depending on the value of the discriminant.
5. Can a quadratic equation have only one solution?
Ans. Yes, a quadratic equation can have only one solution if the discriminant is equal to 0, resulting in repeated or equal roots.
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