Question

Alpha 1 beta are the roots of x cube minus Alpha X square + b x minus 1 is equal to zero then sum of all roots is​

Answer 1

Answer:

Step-by-step explanation:

ax2+bx+c=0

α+β=−ba

α∗β=ca

α+1β=α∗β+1β

β+1α=α∗β+1α

Sum of Roots:

αβ+1β+αβ+1α

=β[αβ+1]+α[αβ+1]αβ

=(α+β)(αβ+1)αβ

=−b/a(c/a+1)c/a

=−bc−ab/a2)c/a

=−bc−abac

Product of Roots:

αβ+1β∗αβ+1α

=αβ+12αβ

=c/a+12αβ

=[c+a]2/a2αβ

=[c2+b2+2ca]/a2c/a

=[a2+c2+2ac]/ac

p(x)=x2−(sum of roots)x+product of roots

=x2+[bc+ab]xac+[a2+c2+2ac]ac

=acx2+[bc+ab]x+[a2+c2+2ca]

BE YOURS...........^_^