If alpha and beta are the zeroes of x^2-3x-10 the find the value of alpha/beta +beta/alpha
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Step-by-step explanation:
let a,b be the roots of equation x²-3x-10 =0
so a+b = -(-3)/1=3, ab= -10/1 = -10
(a+b)² = 3²
a²+b²+2ab = 9
a²+b²+2×(-10) =9
a²+b² =20+9 =29
a/b+b/a = a²+b²/ab
=29²/-10 = -841/10 =-84.1
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