Question

From a quadratic polynomial one of whose zero is root five and a product of the zero is -2 root five

Answer 1

$\bold{Solution:}$

$\underline{Given,}$

alpha =√5

Beta×alpha=-2√5

=> Beta x √5 =-2√5

Beta= -2

$\boxed{alpha=√5\:and\:Beta=-2}$

alpha + Beta = -b/a = -2+√5

alpha *Beta =C/a=-2√5

$\boxed{b=2+√5\:a=1\:c=-2√5}$

Thus equation is

$\boxed{x^2+(2+√5)x-2√5=0}$