UPSC > CSAT Preparation > Tricks for solving Quadratic Equations Questions
Tricks for solving Quadratic Equations Questions Video Lecture - CSAT Preparation - UPSC
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FAQs on Tricks for solving Quadratic Equations Questions Video Lecture - CSAT Preparation - UPSC
| 1. What is the standard form of a quadratic equation? |  |
Ans. The standard form of a quadratic equation is ax^2 + bx + c = 0, where a, b, and c are constants and a ≠ 0.
| 2. How can I determine the roots of a quadratic equation? | |
Ans. The roots of a quadratic equation can be determined using the quadratic formula: x = (-b ± √(b^2 - 4ac)) / 2a. By substituting the values of a, b, and c into this formula, you can calculate the roots.
| 3. Can a quadratic equation have more than two roots? | |
Ans. No, a quadratic equation can have at most two distinct roots. This is because a quadratic equation is of degree 2, meaning it can be represented by a parabola which intersects the x-axis at a maximum of two points.
| 4. How can I factorize a quadratic equation? | |
Ans. To factorize a quadratic equation, you need to find two binomials that, when multiplied, give you the original quadratic equation. This can be done by finding the factors of the coefficient of x^2 and the constant term that add up to the coefficient of x. By splitting the middle term of the quadratic equation using these factors, you can factorize it.
| 5. Can I solve a quadratic equation by completing the square method? | |
Ans. Yes, a quadratic equation can be solved using the completing the square method. This method involves manipulating the equation to create a perfect square trinomial on one side of the equation. By taking the square root of both sides and isolating x, you can find the solutions to the quadratic equation. However, this method is often more time-consuming compared to using the quadratic formula.
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