Class 10 Exam > Class 10 Videos > 03 - Solving Quadratic Equations (Quadratic Formula) - Class 10 - Maths
03 - Solving Quadratic Equations (Quadratic Formula) - Class 10 - Maths Video Lecture
FAQs on 03 - Solving Quadratic Equations (Quadratic Formula) - Class 10 - Maths Video Lecture
| 1. What is the quadratic formula? |  |
Ans. The quadratic formula is a formula used to find the roots of a quadratic equation. It is given by x = (-b ± √(b^2 - 4ac)) / (2a), where a, b, and c are the coefficients of the quadratic equation in the form ax^2 + bx + c = 0.
| 2. How do you solve quadratic equations using the quadratic formula? | |
Ans. To solve a quadratic equation using the quadratic formula, follow these steps:
1. Write down the coefficients of the quadratic equation in the form ax^2 + bx + c = 0.
2. Identify the values of a, b, and c.
3. Substitute these values into the quadratic formula: x = (-b ± √(b^2 - 4ac)) / (2a).
4. Simplify the equation and calculate the values of x using the positive and negative signs before the square root.
| 3. When is it necessary to use the quadratic formula to solve an equation? | |
Ans. The quadratic formula is necessary to solve an equation when the equation is in the form of ax^2 + bx + c = 0 and cannot be factored easily. It is a reliable method to find the roots of any quadratic equation, even when factoring is not possible.
| 4. What are the possible outcomes when using the quadratic formula to solve an equation? | |
Ans. When using the quadratic formula to solve an equation, there can be three possible outcomes:
1. Two real and distinct solutions: If the discriminant (b^2 - 4ac) is positive, the equation will have two different real solutions.
2. One real solution: If the discriminant is zero, the equation will have only one real solution, which is a repeated root.
3. No real solutions: If the discriminant is negative, the equation will have no real solutions, but it may have complex solutions involving imaginary numbers.
| 5. Can the quadratic formula be used to solve any type of equation? | |
Ans. The quadratic formula can only be used to solve equations that are in the form of ax^2 + bx + c = 0, where a, b, and c are real numbers and a ≠ 0. It cannot be used to solve equations of higher degrees or equations with different forms, such as exponential equations or trigonometric equations.
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Nov 23, 2024 Last updated |
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