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Basics of Quadratic Equations Video Lecture | Quantitative for GMAT
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FAQs on Basics of Quadratic Equations Video Lecture - Quantitative for GMAT
| 1. What is a quadratic equation? |  |
Ans. A quadratic equation is a second-degree polynomial equation in a single variable with the general form ax^2 + bx + c = 0, where a, b, and c are constants.
| 2. How do you solve a quadratic equation by factoring? | |
Ans. To solve a quadratic equation by factoring, you need to rewrite the equation in the form of (x - p)(x - q) = 0, where p and q are the solutions. Then, set each factor equal to zero and solve for x.
| 3. Can a quadratic equation have more than two solutions? | |
Ans. No, a quadratic equation can have either zero, one, or two solutions. This is because a quadratic equation represents a parabola, which can intersect the x-axis at most two times.
| 4. What is the discriminant of a quadratic equation? | |
Ans. The discriminant of a quadratic equation is the expression b^2 - 4ac, where a, b, and c are the coefficients of the quadratic equation. It helps determine the nature of the solutions: positive discriminant indicates two real solutions, zero discriminant indicates one real solution, and negative discriminant indicates two complex solutions.
| 5. Can a quadratic equation have a negative discriminant and still have real solutions? | |
Ans. No, a quadratic equation cannot have a negative discriminant and still have real solutions. If the discriminant is negative, it means the quadratic equation has two complex solutions, which involve imaginary numbers.
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Nov 21, 2024 Last updated |
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