alpha beta and gamma are the zeros of polynomial p x is equal to 3 x cube + 3 x square - 5 x + 1 find the values of one by Alpha Plus One by beta plus one exam
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Heya!!
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Here given ,
⇒p(x)=6x³+3x²-5x+1
Here :a=6 ,b=3,c=-5 and d=1.
⇒α+β+Y=-b/a=-3/6=-1/2
⇒αβ+βY+Yα=c/a=-5/6
⇒αβY=-d/a=-1/6.
⇔To find :α^-1+β^-1+Y^-1
⇒we can write it : 1/α+1/β+1/Y
⇒βY+αY+αβ/αβY. Put the values
⇒-5/6/-1/6. : 6 gets cancelled
⇒5
Hope this helps you ☺☺
____
Here given ,
⇒p(x)=6x³+3x²-5x+1
Here :a=6 ,b=3,c=-5 and d=1.
⇒α+β+Y=-b/a=-3/6=-1/2
⇒αβ+βY+Yα=c/a=-5/6
⇒αβY=-d/a=-1/6.
⇔To find :α^-1+β^-1+Y^-1
⇒we can write it : 1/α+1/β+1/Y
⇒βY+αY+αβ/αβY. Put the values
⇒-5/6/-1/6. : 6 gets cancelled
⇒5
Hope this helps you ☺☺
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