Let the roots be alpha[α] and 3alpha[α]
=> α+3α = -b/a
=> 4α = -b/a
=> α = -b/4a ------(1)
=> α×3α = c/a
=> 3(α)^2 = c/a -----(2)
substitute (1) in (2)
=> 3(-b/4a)^2 = c/a
=> b^2/16a^2 = c/3a
=> b^2 = (16a^2*c)/3a
=> b^2 = 16ac/3
=> 3b^2 = 16ac
=> b^2/ac = 16/3
=>b^2:ac = 16:3
ANS =[c]
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Let the roots be alpha[α] and 3alpha[α]
=> α+3α = -b/a
=> 4α = -b/a
=> α = -b/4a ------(1)
=> α×3α = c/a
=> 3(α)^2 = c/a -----(2)
substitute (1) in (2)
=> 3(-b/4a)^2 = c/a
=> b^2/16a^2 = c/3a
=> b^2 = (16a^2*c)/3a
=> b^2 = 16ac/3
=> 3b^2 = 16ac
=> b^2 = 16ac/3
=> b^2/ac = 16/3
=>b^2:ac = 16:3
ANS =[c]
Read more on Brainly.in - brainly.in/question/2200545#readmore