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?
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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
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