Question

If alpha , beta are the roots of the equations x^2+5x+5=0 ,then find the quadratic whose roots are 2alpha and 2beta is

Answer 1

Answer:

x^2 - 10x + 20

Step-by-step explanation:

roots = a(alpha ). and b(beta)

sum =a+b =5

product=ab=5

roots of required equation = 2a and 2b

sum =2a +2b =2(a+b)

2(5)=10

product=2a(2b) = 4ab

4(5) = 20

required equation =x^2 -sx+p

x^2 - 10x +20. ans.