Question

If m and n are zeroes of the polynomial 3x^2 + 11x – 4, find the value of m/n + n/m

Comments

THANKS
BUT I ALSO HAVE SOME OTHER DOUBTS........SO,CAN I ASK IT????

Answer 1

Solution:
Given m & n are zeros of a polynomial 3x² +11x - 4
m + n = - 11 / 3
mn = - 4 / 3

Now m / n + n / m = ( m² + n² ) / mn

⇒ √( (m + n )² - 2mn ] / mn

⇒ √[ (121 / 9 ) + (8 / 3) ] / - 4 / 3

⇒ √[ (145 / 9 )  / (- 4 / 3)

⇒ √[ (145 / 9 )  / (- 4 / 3)

⇒  - √145 / 4.

Comments

how do we get (145/9)/ (-4/3). Can you explain

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@sudhasuresh
adding (121 / 9 ) + (8 / 3)  we get 145/9

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by adding all we get 141.

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got it i missed to add 4. Thanks for answering the question