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Quadratic Equations Video Lecture | General Aptitude for GATE - Mechanical Engineering
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FAQs on Quadratic Equations Video Lecture - General Aptitude for GATE - Mechanical Engineering
| 1. What is a quadratic equation? |  |
Ans. A quadratic equation is a polynomial equation of the second degree, where the highest power of the variable is 2. It can be expressed in the form ax^2 + bx + c = 0, where a, b, and c are constants and 'x' is the variable.
| 2. How do you solve a quadratic equation? | |
Ans. To solve a quadratic equation, one can use various methods such as factoring, completing the square, or using the quadratic formula. The quadratic formula is often the most convenient and widely used method, which states that the solutions of a quadratic equation ax^2 + bx + c = 0 are given by x = (-b ± √(b^2 - 4ac))/(2a).
| 3. Can a quadratic equation have more than two solutions? | |
Ans. No, a quadratic equation can have at most two solutions. This is because a quadratic equation represents a parabola, which can intersect the x-axis at most twice. However, it is also possible for a quadratic equation to have only one solution or no real solutions, depending on the discriminant (b^2 - 4ac) of the equation.
| 4. What is the discriminant of a quadratic equation and how is it used? | |
Ans. The discriminant of a quadratic equation ax^2 + bx + c = 0 is the expression b^2 - 4ac. It is used to determine the nature of the solutions of the quadratic equation. If the discriminant is positive, the equation has two distinct real solutions, if it is zero, the equation has one real solution (a double root), and if it is negative, the equation has no real solutions (complex roots).
| 5. How are quadratic equations used in real-life applications? | |
Ans. Quadratic equations have various applications in real-life scenarios, such as physics, engineering, economics, and computer science. They can be used to model and solve problems related to projectile motion, optimization of resources, financial planning, circuit analysis, and even in computer graphics for rendering smooth curves. Understanding quadratic equations helps in solving practical problems efficiently and accurately.
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Video Description: Quadratic Equations for Mechanical Engineering 2025 is part of General Aptitude for GATE preparation.
The notes and questions for Quadratic Equations have been prepared according to the Mechanical Engineering exam syllabus.
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Video Lecture & Questions for Quadratic Equations Video Lecture | General Aptitude for GATE - Mechanical Engineering - Mechanical Engineering full syllabus preparation | Free video for Mechanical Engineering exam to prepare for General Aptitude for GATE.
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