Question

If m and n are thezeros of the polynomial 6x^2+x-2 then find m/n+n/m

Answer 1

Answer:

m and n are the zeros of the polynomial P(x)=6 x ^2 + x - 2=0

therefore,

m+n = 1/6 and

mn = - 2 / 6 = - 1 /3

Now,

m/n + n/m

==> m^2 + n^2 / mn

==>. (m + n )^2 - 2(mn) / mn

==>. ( 1/6 )^2 - 2( -1/3 ) / -1/3

==>. ( 1/36 + 2/3 ). / - 1/3

==>. ( 24 + 1/36 ) / - 1/3

==>. -25/12

Step-by-step explanation:

therefore,

-25/12

is your answer.

hope it helps!

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