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If m and n are the zeroes of the polynomial 3x2 + 11x - 4, find the value of m/n+n/m?
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If m and n are the zeroes of the polynomial 3x2 + 11x - 4, find the va...
Find the value of m/n + n/m
1. Identify the zeroes of the polynomial
Given polynomial: 3x^2 + 11x - 4
Let m and n be the zeroes of the polynomial.
2. Using the sum and product of roots formula
Sum of the roots (m + n) = -b/a = -11/3
Product of the roots (m * n) = c/a = -4/3
3. Calculate the value of m/n + n/m
We need to find the value of (m/n) + (n/m).
(m/n) + (n/m) = (m^2 + n^2) / mn
(m^2 + n^2) = (m + n)^2 - 2mn
Substitute the values for m + n and mn:
(m + n)^2 - 2mn = (-11/3)^2 - 2*(-4/3) = 121/9 + 8/3 = 121/9 + 24/9 = 145/9
Therefore, (m/n) + (n/m) = 145/9
Thus, the value of m/n + n/m is 145/9.
1. Identify the zeroes of the polynomial
Given polynomial: 3x^2 + 11x - 4
Let m and n be the zeroes of the polynomial.
2. Using the sum and product of roots formula
Sum of the roots (m + n) = -b/a = -11/3
Product of the roots (m * n) = c/a = -4/3
3. Calculate the value of m/n + n/m
We need to find the value of (m/n) + (n/m).
(m/n) + (n/m) = (m^2 + n^2) / mn
(m^2 + n^2) = (m + n)^2 - 2mn
Substitute the values for m + n and mn:
(m + n)^2 - 2mn = (-11/3)^2 - 2*(-4/3) = 121/9 + 8/3 = 121/9 + 24/9 = 145/9
Therefore, (m/n) + (n/m) = 145/9
Thus, the value of m/n + n/m is 145/9.
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If m and n are the zeroes of the polynomial 3x2 + 11x - 4, find the value of m/n+n/m?
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If m and n are the zeroes of the polynomial 3x2 + 11x - 4, find the value of m/n+n/m? 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 If m and n are the zeroes of the polynomial 3x2 + 11x - 4, find the value of m/n+n/m? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If m and n are the zeroes of the polynomial 3x2 + 11x - 4, find the value of m/n+n/m?.
If m and n are the zeroes of the polynomial 3x2 + 11x - 4, find the value of m/n+n/m? 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 If m and n are the zeroes of the polynomial 3x2 + 11x - 4, find the value of m/n+n/m? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If m and n are the zeroes of the polynomial 3x2 + 11x - 4, find the value of m/n+n/m?.
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