# Quadratic Equations Video Lecture - Mathematics (Maths) Class 11 - Commerce

## FAQs on Quadratic Equations Video Lecture - Mathematics (Maths) Class 11 - Commerce

 1. What is a quadratic equation? Ans. A quadratic equation is a polynomial equation of the second degree, which means it contains a variable raised to the power of 2. It can be written in the form ax^2 + bx + c = 0, where a, b, and c are constants.
 2. How do I solve a quadratic equation? Ans. There are different methods to solve a quadratic equation, such as factoring, using the quadratic formula, completing the square, or graphing. The most widely used method is the quadratic formula, which states that for any quadratic equation ax^2 + bx + c = 0, the solutions can be found using the formula 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. If the discriminant (b^2 - 4ac) is positive, the equation has two real solutions. If the discriminant is zero, the equation has one real solution (also known as a double root). If the discriminant is negative, the equation has no real solutions, but two complex conjugate solutions.
 4. What does the discriminant of a quadratic equation represent? Ans. The discriminant of a quadratic equation, denoted by Δ or b^2 - 4ac, represents the nature and number of solutions for the equation. If the discriminant is positive, the equation has two distinct real solutions. If the discriminant is zero, the equation has one real solution (double root). If the discriminant is negative, the equation has no real solutions, but two complex conjugate solutions.
 5. How are quadratic equations used in real-life situations? Ans. Quadratic equations are used in various real-life situations, including physics, engineering, finance, and computer graphics. For example, they can be used to model the trajectory of a projectile, determine the optimal dimensions of a structure, calculate the profit or loss in business scenarios, or create realistic animations in video games. The ability to solve quadratic equations is essential in many practical applications.

## Mathematics (Maths) Class 11

157 videos|210 docs|132 tests

## Mathematics (Maths) Class 11

157 videos|210 docs|132 tests

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