Question

If m and n are the zeros of the polynomial 3X2+11x-4,find the value of m/n+n/m

Answer 1

 given,
zeroes of the polynomial 3x²+11x -4  are m and n
⇒ 3(m)² + 11(m) -4 = 0
⇒ 3m²+ 11m -4 = 0
⇒ 3m² +12m -m - 4 = 0
⇒3m( m+ 4) - 1( m + 4)  =0
⇒ (3m - 1) ( m+4) = 0
⇒ (3m - 1) = 0 (or) (m +4 ) = 0
⇒ m = 1/3 or m = -4
if we replace n in x place , we get the same values
Hence , m/n + n/m = 1 + 1 =2

Answer 2

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