Inverse-root-formula-x-2c-b-b-2-4ac-1-The-antiroot-formula-is-derivedr-fom-the-abovementionedt-antiroo-formula-

Question Number 211679 by MrGaster last updated on 16/Sep/24

Inverse root formula :

x = \frac{2 c}{- b \pm \sqrt{b^{2} - 4 a c}}

(1) The “ antiroot {formula}^{″} is derivedr

fom the abovementionedt

antiroo formula .

Commented by mr W last updated on 16/Sep/24

r o o t s f r o m

{a x}^{2} + b x + c = 0 a r e

x = \frac{- b \pm \sqrt{b^{2} - 4 a c}}{2 a}

{a x}^{2} + b x + c = 0 \Leftrightarrow c {(\frac{1}{x})}^{2} + b (\frac{1}{x}) + a = 0

\Rightarrow \frac{1}{x} = \frac{- b \pm \sqrt{b^{2} - 4 c a}}{2 c}

\Rightarrow x = \frac{2 c}{- b \pm \sqrt{b^{2} - 4 a c}}

Answered by Ghisom last updated on 16/Sep/24

x = \frac{2 c}{- b \pm \sqrt{b^{2} - 4 a c}}_{}^{} =

= \frac{- b \pm \sqrt{b^{2} - 4 a c}}{2 a}

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