11,5=(2x+14)/16x

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Solution for 11,5=(2x+14)/16x equation:


x in (-oo:+oo)

11.5 = x*((2*x+14)/16) // - x*((2*x+14)/16)

11.5-(x*((2*x+14)/16)) = 0

(-1*x*(2*x+14))/16+11.5 = 0

(-1*x*(2*x+14))/16+(11.5*16)/16 = 0

11.5*16-1*x*(2*x+14) = 0

184-2*x^2-14*x = 0

184-2*x^2-14*x = 0

2*(92-x^2-7*x) = 0

92-x^2-7*x = 0

DELTA = (-7)^2-(-1*4*92)

DELTA = 417

DELTA > 0

x = (417^(1/2)+7)/(-1*2) or x = (7-417^(1/2))/(-1*2)

x = (417^(1/2)+7)/(-2) or x = (7-417^(1/2))/(-2)

2*(x-((417^(1/2)+7)/(-2)))*(x-((7-417^(1/2))/(-2))) = 0

(2*(x-((417^(1/2)+7)/(-2)))*(x-((7-417^(1/2))/(-2))))/16 = 0

(2*(x-((417^(1/2)+7)/(-2)))*(x-((7-417^(1/2))/(-2))))/16 = 0 // * 16

2*(x-((417^(1/2)+7)/(-2)))*(x-((7-417^(1/2))/(-2))) = 0

( x-((417^(1/2)+7)/(-2)) )

x-((417^(1/2)+7)/(-2)) = 0 // + (417^(1/2)+7)/(-2)

x = (417^(1/2)+7)/(-2)

( x-((7-417^(1/2))/(-2)) )

x-((7-417^(1/2))/(-2)) = 0 // + (7-417^(1/2))/(-2)

x = (7-417^(1/2))/(-2)

x in { (417^(1/2)+7)/(-2), (7-417^(1/2))/(-2) }

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