Class 10 Exam > Class 10 Videos > 02- Solving Quadratic Equations (Completing The Square Method) - Class 10 - Maths
02- Solving Quadratic Equations (Completing The Square Method) - Class 10 - Maths Video Lecture
FAQs on 02- Solving Quadratic Equations (Completing The Square Method) - Class 10 - Maths Video Lecture
| 1. What is the completing the square method for solving quadratic equations? |  |
Ans. The completing the square method is a technique used to solve quadratic equations by manipulating the equation in order to create a perfect square trinomial. This involves adding or subtracting a constant to both sides of the equation, allowing it to be factored into a perfect square.
| 2. How do you complete the square to solve a quadratic equation? | |
Ans. To complete the square, follow these steps:
1. Write the quadratic equation in the form ax^2 + bx + c = 0.
2. If necessary, divide the equation by the coefficient of x^2 to make the coefficient 1.
3. Move the constant term (c) to the other side of the equation.
4. Take half of the coefficient of x (b/2) and square it. Add this value to both sides of the equation.
5. Factor the quadratic trinomial on the left side into a perfect square.
6. Solve for x by taking the square root of both sides and considering the positive and negative roots.
| 3. Why is completing the square method used to solve quadratic equations? | |
Ans. The completing the square method is used to solve quadratic equations because it provides a systematic approach to finding the solutions. It allows us to rewrite the equation in a form that can be easily factored into a perfect square, making it easier to solve for the unknown variable.
| 4. Are there any limitations to using the completing the square method? | |
Ans. Yes, there are some limitations to using the completing the square method. It can be a time-consuming process, especially for complex quadratic equations. Additionally, the method may not always be applicable if the quadratic equation has irrational or complex solutions, as it requires taking square roots.
| 5. Can the completing the square method be used for all quadratic equations? | |
Ans. Yes, the completing the square method can be used for all quadratic equations. However, it may not always be the most efficient method, especially when the quadratic equation can be easily factored or when using the quadratic formula. It is important to choose the most appropriate method based on the given equation.
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Dec 23, 2024 Last updated |
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