Can you please help me how can i solve this equation x=0.055(1.44x^2 −6.336x+6.9696)


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Question Number 50016 by gh.b last updated on 13/Dec/18

$C a n y o u p l e a s e h e l p m e$ $h o w c a n i s o l v e t h i s e q u a t i o n$ $x = 0.055 (1.44 x^{2} - 6.336 x + 6.9696)$
	Answered by MJS last updated on 13/Dec/18

	$its structure is$ $x = a ({b x}^{2} - c x + d)$ $multiplicate constants$ $x = {a b x}^{2} - a c x + a d$ $bring to one side and transform$ ${a b x}^{2} - a c x - x + a d = 0$ ${a b x}^{2} - (a c + 1) x + a d = 0$ $use formula$ ${A x}^{2} + B x + C = 0 \Leftrightarrow x = \frac{- B \pm \sqrt{B^{2} - 4 A C}}{2 A}$ $with A = a b, B = - (a c + 1), C = a d$
	Answered by peter frank last updated on 13/Dec/18

	$a = 0.0792$ $b = 0.34848$ $c = 0.383328$ $x = \frac{- b \pm \sqrt{b^{2} - 4 ac}}{2 a}$ $x = 2.2$
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