Question

The sum of two roots of a quadratic equation is 5and sum of their cube is 35,find the equation. ​

Answer 1

Answer:

let the two roots a and b

a+b=5=a cube+b cube+3ab(a+b)

(5)cube=35 +3ab(5)

125=35+15ab

90=15ab

:.ab=6

quadratic equation

x square-(sum r +roots)+product of roots =0

x square-(a+b)x +ab=0x square-5x+6=0