Question

Halfa,beta are the roots of the equation x square +2x+1=0 then the Quadratic equation with the roots 4halfa,4beta is

Answer 1

Answer:

x^2+8x+4=0

step by step explanation:

alpha and beta are roots of quadratic equation

x^2+2x+1=0

comparing equation with ax^2+bx+c=0

a=1,b=2,c=1

alpha+beta=-b/a

=-2/1

=-2

alpha×beta=c/a

=1/1

=1

4alpha+4beta=4(alpha+beta)

=4(-2)

=-8

4alpha×4beta=4(alpha×beta)

=4(1)

=4

the equation will be

x^2-(4alpha+beta)x+(Alpha×beta)=0

x^2-(-8)x+4=0

x^2+8x+4=0