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Alpha + bita = sunyako ka yog = -b/a kaise aata hai
? Related: बहुपद | कक्षा 10 - नोट्स, पाठ 2
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Alpha + bita = sunyako ka yog = -b/a kaise aata hai Related: बहुपद | ...
Explanation of Alpha Beta Formula
Alpha beta formula is used to find the sum and product of the roots of a quadratic equation. The formula is given by:
alpha + beta = -b/a
alpha * beta = c/a
Derivation of Alpha Beta Formula
To derive the alpha beta formula, we start with a general form of the quadratic equation:
ax^2 + bx + c = 0
Finding Alpha + Beta
To find the sum of the roots (alpha + beta), we can use the formula for the sum of roots of a quadratic equation:
alpha + beta = -b/a
Here, -b is the coefficient of x in the equation and a is the coefficient of x^2.
Finding Alpha * Beta
To find the product of the roots (alpha * beta), we can use the formula for the product of roots of a quadratic equation:
alpha * beta = c/a
Here, c is the constant term in the equation and a is the coefficient of x^2.
Example
Let's take an example:
If we have the equation x^2 - 5x + 6 = 0, then:
a = 1, b = -5, c = 6
Using the alpha beta formula:
alpha + beta = -(-5)/1 = 5
alpha * beta = 6/1 = 6
Therefore, the sum of the roots is 5 and the product of the roots is 6.
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Alpha + bita = sunyako ka yog = -b/a kaise aata hai Related: बहुपद | कक्षा 10 - नोट्स, पाठ 2? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Alpha + bita = sunyako ka yog = -b/a kaise aata hai Related: बहुपद | कक्षा 10 - नोट्स, पाठ 2? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Alpha + bita = sunyako ka yog = -b/a kaise aata hai Related: बहुपद | कक्षा 10 - नोट्स, पाठ 2?.
Alpha + bita = sunyako ka yog = -b/a kaise aata hai Related: बहुपद | कक्षा 10 - नोट्स, पाठ 2? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Alpha + bita = sunyako ka yog = -b/a kaise aata hai Related: बहुपद | कक्षा 10 - नोट्स, पाठ 2? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Alpha + bita = sunyako ka yog = -b/a kaise aata hai Related: बहुपद | कक्षा 10 - नोट्स, पाठ 2?.
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