1.0=(8x-8)/8x

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Solution for 1.0=(8x-8)/8x equation:


x in (-oo:+oo)

1 = x*((8*x-8)/8) // - x*((8*x-8)/8)

1-(x*((8*x-8)/8)) = 0

(-1*x*(8*x-8))/8+1 = 0

(-1*x*(8*x-8))/8+(1*8)/8 = 0

1*8-1*x*(8*x-8) = 0

8*x-8*x^2+8 = 0

8*x-8*x^2+8 = 0

8*(x-x^2+1) = 0

x-x^2+1 = 0

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

DELTA = 5

DELTA > 0

x = (5^(1/2)-1)/(-1*2) or x = (-5^(1/2)-1)/(-1*2)

x = (5^(1/2)-1)/(-2) or x = (5^(1/2)+1)/2

8*(x-((5^(1/2)-1)/(-2)))*(x-((5^(1/2)+1)/2)) = 0

(8*(x-((5^(1/2)-1)/(-2)))*(x-((5^(1/2)+1)/2)))/8 = 0

(8*(x-((5^(1/2)-1)/(-2)))*(x-((5^(1/2)+1)/2)))/8 = 0 // * 8

8*(x-((5^(1/2)-1)/(-2)))*(x-((5^(1/2)+1)/2)) = 0

( x-((5^(1/2)+1)/2) )

x-((5^(1/2)+1)/2) = 0 // + (5^(1/2)+1)/2

x = (5^(1/2)+1)/2

( x-((5^(1/2)-1)/(-2)) )

x-((5^(1/2)-1)/(-2)) = 0 // + (5^(1/2)-1)/(-2)

x = (5^(1/2)-1)/(-2)

x in { (5^(1/2)+1)/2, (5^(1/2)-1)/(-2) }

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