Question

Roots of the equation 2x^2+4x-1=0 are a and b.find a quadratic eauation with integer coefficients whose roots are b\a and a\b?

Answer 1

Answer:

x^2 -9x +1=0

Step-by-step explanation:

sum of roots = b/a + a/b = (a^2+b^2)/ab

[(a+b)^2-ab/ab = (-2)^2-(-1/2)/(-1/2) is

= 9

product of roots= (b/a)×(a/b)=1

so the required equation is

X^2 -(sum of roots)X

+(product of roots)=0

x^2- 9x + 1 = 0