The equation formed by multiplying each ...

The equation formed by multiplying each root of `ax^(2) + bx+ c = 0" by "2 " is "x^(2) = 36x + 24 =0`

`2bc =ac+c^(2)`

`2ab =bc+c^(2)`

`2ac = ab +b^(2)`

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Statement-1: If alpha and beta are real roots of the quadratic equations ax^(2) + bx + c = 0 and -ax^(2) + bx + c = 0 , then (a)/(2) x^(2) + bx + c = 0 has a real root between alpha and beta Statement-2: If f(x) is a real polynomial and x_(1), x_(2) in R such that f(x_(1)) f_(x_(2)) lt 0 , then f(x) = 0 has at leat one real root between x_(1) and x_(2) .

The ratio of the roots of the equation ax^(2)+bx+c=0 is same equation Ax^(2)+Bx+C=0. If D_(1) and D_(2) are the discriminants of 0. If D_(1) and D_(2) are the ax^(2)+bx+C=0 and Ax^(2)+Bx+C=0 respectively,then D_(1):D_(2)

If the equation ax^(2) + bx + c = 0 and 2x^(2) + 3x + 4 = 0 have a common root, then a : b : c

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