35/x-15(9x+84)=5(13x+326)

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Solution for 35/x-15(9x+84)=5(13x+326) equation:


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

35/x-(15*(9*x+84)) = 5*(13*x+326) // - 5*(13*x+326)

35/x-(15*(9*x+84))-(5*(13*x+326)) = 0

35/x-15*(9*x+84)-5*(13*x+326) = 0

(-15*x*(9*x+84))/x+(-5*x*(13*x+326))/x+35/x = 0

35-15*x*(9*x+84)-5*x*(13*x+326) = 0

35-200*x^2-2890*x = 0

35-200*x^2-2890*x = 0

5*(7-40*x^2-578*x) = 0

7-40*x^2-578*x = 0

DELTA = (-578)^2-(-40*4*7)

DELTA = 335204

DELTA > 0

x = (335204^(1/2)+578)/(-40*2) or x = (578-335204^(1/2))/(-40*2)

x = (2*83801^(1/2)+578)/(-80) or x = (578-2*83801^(1/2))/(-80)

5*(x-((2*83801^(1/2)+578)/(-80)))*(x-((578-2*83801^(1/2))/(-80))) = 0

(5*(x-((2*83801^(1/2)+578)/(-80)))*(x-((578-2*83801^(1/2))/(-80))))/x = 0

(5*(x-((2*83801^(1/2)+578)/(-80)))*(x-((578-2*83801^(1/2))/(-80))))/x = 0 // * x

5*(x-((2*83801^(1/2)+578)/(-80)))*(x-((578-2*83801^(1/2))/(-80))) = 0

( x-((2*83801^(1/2)+578)/(-80)) )

x-((2*83801^(1/2)+578)/(-80)) = 0 // + (2*83801^(1/2)+578)/(-80)

x = (2*83801^(1/2)+578)/(-80)

( x-((578-2*83801^(1/2))/(-80)) )

x-((578-2*83801^(1/2))/(-80)) = 0 // + (578-2*83801^(1/2))/(-80)

x = (578-2*83801^(1/2))/(-80)

x in { (2*83801^(1/2)+578)/(-80), (578-2*83801^(1/2))/(-80) }

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