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Quadratic Equations Video Lecture | General Aptitude for GATE - Mechanical Engineering

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. Information about Quadratic Equations covers all important topics for Mechanical Engineering 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Quadratic Equations.

Introduction of Quadratic Equations in English is available as part of our General Aptitude for GATE for Mechanical Engineering & Quadratic Equations in Hindi for General Aptitude for GATE course. Download more important topics related with notes, lectures and mock test series for Mechanical Engineering Exam by signing up for free.

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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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Here you can find the meaning of Quadratic Equations defined & explained in the simplest way possible. Besides explaining types of Quadratic Equations theory, EduRev gives you an ample number of questions to practice Quadratic Equations tests, examples and also practice Mechanical Engineering tests.

	General Aptitude for GATE 206 videos\|190 docs\|158 tests

General Aptitude for GATE

206 videos|190 docs|158 tests

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