if alpha and beta are zeros of 2x^2+7x-4 find px whose roots are 1/alpha and 2/beta
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Let, the poly. be p(x)=2x2−7x+5.
Then, p(x)=0⇒2x2−7x+5=0.
∴2x2−5x−−−−−−−−−2x+5−−−−−−=0.
∴x(2x−5)−1(2x−5)=0.
∴(2x−5)(x−1)=0.
∴ The zeroes of p(x) are 52,and,1.
We select, α=52andβ=1.
Letting α0=2α+1,andβ0=2β+3, we have,
α0=2(52)+1=6,andβ0=2(1
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