Question

(3x +a) (3x + b) = ab
Find roots of the equation.

Answer 1

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$(3x + a)(3x + b) = ab \\ 9 {x}^{2} + 3ax + 3bx + ab = ab \\ 9 {x}^{2} + 3x(a + b) + 0 = 0 \\ \\ we \: can \: find \: the \: roots \: of \: this \: equation \: by \: \\ ( \frac{- b + - \sqrt{ {b}^{2} - 4ac }}{2a} ) \\ \\ so \: when \: we \: solve \: this \\ by \: putting \: values \\ we \: get \: root \: as \: ( \frac{ - a + b}{3} ) \\ \\ to \: verify \: these \: roots \: you \: can \: put \: this \: value \: in \: x \: \\ then \: you \: will \: get \: zero \: which \: means \: it \: is \: a \: root \\ of \: the \: given \: equation$