Class 11 Exam > Class 11 Videos > Let `alpha` and `beta` be the roots of the equation `ax^2+bx+c=0` and `Delta=b^2-4ac`. Given `...
Let `alpha` and `beta` be the roots of the equation `ax^2+bx+c=0` and `Delta=b^2-4ac`. Given `... Video Lecture - Class 11
FAQs on Let `alpha` and `beta` be the roots of the equation `ax^2+bx+c=0` and `Delta=b^2-4ac`. Given `... Video Lecture - Class 11
| 1. What are the roots of the quadratic equation `ax^2 + bx + c = 0`? |  |
Ans. The roots of the quadratic equation are `alpha` and `beta`.
| 2. How can we find the value of `Delta` in the quadratic equation? | |
Ans. The value of `Delta` in the quadratic equation is found by calculating `b^2 - 4ac`.
| 3. What is the significance of `Delta` in the quadratic equation? | |
Ans. `Delta` determines the nature of the roots. If `Delta` is positive, the roots are real and distinct. If `Delta` is zero, the roots are real and equal. If `Delta` is negative, the roots are complex conjugates.
| 4. How can we find the values of `alpha` and `beta` using `Delta`? | |
Ans. The values of `alpha` and `beta` can be found using the formula: `alpha = (-b + sqrt(Delta)) / (2a)` and `beta = (-b - sqrt(Delta)) / (2a)`.
| 5. Can the quadratic equation have only one root? | |
Ans. No, the quadratic equation cannot have only one root. It either has two distinct real roots, two equal real roots, or two complex conjugate roots.
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