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Quadratic Equations Problem Solving- 2 Video Lecture | Mathematics (Maths) Class 10

126 videos|477 docs|105 tests

FAQs on Quadratic Equations Problem Solving- 2 Video Lecture - Mathematics (Maths) Class 10

1. What is a quadratic equation?
Ans. A quadratic equation is a polynomial equation of the second degree, which means that the highest power of the variable is 2. It can be written in the form ax^2 + bx + c = 0, where a, b, and c are constants, and a is not equal to 0.
2. How do you solve a quadratic equation?
Ans. There are several methods to solve a quadratic equation, including factoring, completing the square, and using the quadratic formula. The most common method is using the quadratic formula, which is 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 the graph of a quadratic equation is a parabola, which can intersect the x-axis at most twice. However, it is possible for a quadratic equation to have only one solution or no real solutions.
4. What is the discriminant of a quadratic equation?
Ans. The discriminant of a quadratic equation is the expression inside the square root in the quadratic formula. It is calculated as b^2 - 4ac. The discriminant determines 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. And if it is negative, the equation has no real solutions.
5. How are quadratic equations used in real life?
Ans. Quadratic equations are used in various real-life applications, such as physics, engineering, finance, and computer graphics. They can be used to model the trajectory of a projectile, calculate the optimal dimensions of structures, analyze financial investments, and create realistic animations. Understanding quadratic equations is essential for solving these real-world problems.
126 videos|477 docs|105 tests

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