Class 10 Exam > Class 10 Videos > Crash Course: Class 10 > Solution of a Quadratic Equation - By Factorisation
Solution of a Quadratic Equation - By Factorisation Video Lecture | Crash Course: Class 10
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FAQs on Solution of a Quadratic Equation - By Factorisation Video Lecture - Crash Course: Class 10
| 1. How do you solve a quadratic equation by factorization? |  |
Ans. To solve a quadratic equation by factorization, you need to follow these steps:
1. Set the equation equal to zero and rearrange it in the form ax^2 + bx + c = 0.
2. Factorize the quadratic expression on the left side of the equation.
3. Set each factor equal to zero and solve for x.
4. The solutions obtained will be the values of x that satisfy the quadratic equation.
| 2. Can all quadratic equations be solved by factorization? | |
Ans. No, not all quadratic equations can be solved by factorization. Some quadratic equations may have complex or irrational roots, which cannot be obtained by factorization. In such cases, other methods like using the quadratic formula or completing the square are needed to find the solutions.
| 3. Are there any limitations or restrictions when solving a quadratic equation by factorization? | |
Ans. Yes, there are certain limitations or restrictions when solving a quadratic equation by factorization. The quadratic equation must be factorable, meaning it should have two distinct factors that can be multiplied to form the quadratic expression. If the quadratic equation cannot be factored, then factorization method cannot be used to solve it.
| 4. What is the advantage of solving a quadratic equation by factorization over other methods? | |
Ans. Solving a quadratic equation by factorization can be advantageous in certain cases. One advantage is that it can provide the exact solutions in the form of rational numbers, which can be easier to work with compared to decimal approximations obtained through other methods. Additionally, factorization can sometimes lead to a quicker and more straightforward solution process when the quadratic equation is easily factorable.
| 5. Can you explain with an example how to solve a quadratic equation by factorization? | |
Ans. Sure! Let's solve the quadratic equation x^2 - 5x + 6 = 0 by factorization:
1. Rearrange the equation: x^2 - 5x + 6 = 0.
2. Factorize the quadratic expression: (x - 2)(x - 3) = 0.
3. Set each factor equal to zero: x - 2 = 0 and x - 3 = 0.
4. Solve for x: x = 2 and x = 3.
Therefore, the solutions to the quadratic equation are x = 2 and x = 3.
About this Video
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Dec 23, 2024 Last updated |
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