If α and β are the zeroes of the polynomial f(x)= ax^2 bx c then find the value ofα^2/β^2 α^2/β^2
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Step-by-step explanation:
alpha+beta=-b/a
alpha*beta=c/a
alpha/beta+beta/alpha( taking lcm)
(alpha)²+(beta)²/apha*beta
(alpha+beta)²-2alpha*beta/alpha*beta
(-b/c)²- 2*c/a/c/a
in last step we add and subtract 2alpha*beta to make the formula of (alpha*beta)²
alpha+beta=-b/a
alpha*beta=c/a
alpha/beta+beta/alpha( taking lcm)
(alpha)²+(beta)²/apha*beta
(alpha+beta)²-2alpha*beta/alpha*beta
(-b/c)²- 2*c/a/c/a
in last step we add and subtract 2alpha*beta to make the formula of (alpha*beta)²
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