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If alpha and beta are the roots of x2-2x+3 then find the value of alpha/beta2 + beta/alpha2 |
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Answer» ANSWER:plz plz plz plz plz plz plz plz plz plz mark as brainliest I REALLY need it Step-by-step explanation:3x 2−2x+1=0 Let α,β are roots of X 2 −2x+3=0 Then α+β=2;αβ=3. Now α+1α−1+ β+1β−1 = (α+1)(β+1)(α−1)(β+1)+(α+1)(β−1) = αβ+α+β+1αβ+α−β−1+αβ−α+β−1 = αβ+α+β+12αβ−2 = 3+2+16−2 = 64 = 32 ( α+1α−1)( β+1β−1 )= (αβ+α+β+1)αβ−α−β+1 = 3+2+13−2+1 = 62 = 31 Hence, equation is x 2 −( 32)x+( 31)=0⇒3x 2−2x+1=0. |
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