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Introduction: Quadratic Equations Video Lecture | Quantitative Aptitude (Quant) - CAT

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FAQs on Introduction: Quadratic Equations Video Lecture - Quantitative Aptitude (Quant) - CAT

1. What is a quadratic equation?
Ans. A quadratic equation is a second-degree polynomial equation in the form ax^2 + bx + c = 0, where a, b, and c are constants and a is not equal to 0.
2. How do you solve a quadratic equation using the quadratic formula?
Ans. To solve a quadratic equation using the quadratic formula, you can use the formula x = (-b ± √(b^2 - 4ac)) / 2a, where a, b, and c are the coefficients of the quadratic equation ax^2 + bx + c = 0.
3. What are the different methods to solve a quadratic equation?
Ans. Some common methods to solve a quadratic equation include factoring, completing the square, using the quadratic formula, and graphing.
4. Can a quadratic equation have more than one solution?
Ans. Yes, a quadratic equation can have two distinct real solutions, one real solution (double root), or two complex solutions, depending on the discriminant (b^2 - 4ac) of the equation.
5. What is the relationship between the roots of a quadratic equation and its coefficients?
Ans. The sum of the roots of a quadratic equation is equal to -b/a, and the product of the roots is equal to c/a, where a, b, and c are the coefficients of the quadratic equation ax^2 + bx + c = 0.
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