Question

Which 2 numbers give 14400 on multiplying and 40 on adding?

Answer 1

Answer:

20 + √(14000)¡ , 20 - √(14000)¡

Step-by-step explanation:

since there are no real roots of the eqn. the roots are imaginary

since sum of roots =40 =s

product of roots = 14400 =p

the roots are also roots of

x^2 -sx + p=0

or x^2 -40x + 14400=0

using quadratic formula

x= (40+- √[(40)^2 - (14400×4)])/2

this implies x= 20 +- √[-14000]

or x= 20 + √-14000 ,20- √-14000

since √-1 =¡

this implies x=20 + √(14000)¡ , 20 - √(14000)¡