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{CL@$$=>10th}
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If the zeroes of polynomial x³-4x²+2x+4 are m+1,m+n and
m-n , then find the value of
m²-n².
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hii... here is your answer:-
given,
zeroes of the polynomial x³- 4x²+12x -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
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