Question

Let a, b, c be real numbers with a ≠ 0 and let α and β be the roots of the equation ax² + bx + c² = 0. Then the roots of a²x² + abcx + c³ = 0 in terms of α ,β are given by

(a) α ,β

(b)  cα/a , cβ/a

(c)  aα ,cβ

(d)  cα , αβ

Answer 1

Correct option (b)  cα/a , cβ/a

Given equation a³x² + abcx + c + c³ = 0 can be written as

Clearly, roots of this equation are ax/c = α ,β

So  x = cα/a , cβ/a