Question

If m and n are the zeroes of the polynomial 3r2+1lx-4,then find the value of+2.

n m

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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