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If m and n are zeroes of the polynomial 3x2
+ 11x – 4, find the value of m/n + n/m?
+ 11x – 4, find the value of m/n + n/m?
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If m and n are zeroes of the polynomial 3x2 + 11x – 4, find the value...
Given Polynomial:
3x^2 + 11x - 4
Finding the Zeroes:
To find the zeroes of the polynomial, we need to factorize it. The factors of 3x^2 + 11x - 4 are (3x - 1)(x + 4). Setting each factor to zero gives us:
3x - 1 = 0 => x = 1/3
x + 4 = 0 => x = -4
So, the zeroes of the polynomial are m = 1/3 and n = -4.
Calculating m/n + n/m:
m/n + n/m = (1/3) / (-4) + (-4) / (1/3)
= (1/3) * (-1/4) + (-4) * 3
= -1/12 - 12
= -49/12
Therefore, the value of m/n + n/m is -49/12.
3x^2 + 11x - 4
Finding the Zeroes:
To find the zeroes of the polynomial, we need to factorize it. The factors of 3x^2 + 11x - 4 are (3x - 1)(x + 4). Setting each factor to zero gives us:
3x - 1 = 0 => x = 1/3
x + 4 = 0 => x = -4
So, the zeroes of the polynomial are m = 1/3 and n = -4.
Calculating m/n + n/m:
m/n + n/m = (1/3) / (-4) + (-4) / (1/3)
= (1/3) * (-1/4) + (-4) * 3
= -1/12 - 12
= -49/12
Therefore, the value of m/n + n/m is -49/12.
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If m and n are zeroes of the polynomial 3x2 + 11x – 4, find the value of m/n + n/m?
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If m and n are 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 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 zeroes of the polynomial 3x2 + 11x – 4, find the value of m/n + n/m?.
If m and n are 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 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 zeroes of the polynomial 3x2 + 11x – 4, find the value of m/n + n/m?.
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