49=x/((0.09375-x)^2)

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Solution for 49=x/((0.09375-x)^2) equation:


D( x )

(0.09375-x)^2 = 0

(0.09375-x)^2 = 0

(0.09375-x)^2 = 0

0.09375-x = 0 // - 0.09375

-x = -0.09375 // * -1

x = 0.09375

x in (-oo:0.09375) U (0.09375:+oo)

49 = x/((0.09375-x)^2) // - x/((0.09375-x)^2)

49-(x/((0.09375-x)^2)) = 0

(-1*x)/((0.09375-x)^2)+49 = 0

(-1*x)/((0.09375-x)^2)+(49*(0.09375-x)^2)/((0.09375-x)^2) = 0

49*(0.09375-x)^2-1*x = 0

49*x^2-10.1875*x+0.4306640625 = 0

49*x^2-10.1875*x+0.4306640625 = 0

49*x^2-10.1875*x+0.4306640625 = 0

DELTA = (-10.1875)^2-(0.4306640625*4*49)

DELTA = 10.1875^2-84.41015625

DELTA = 19.375

DELTA > 0

x = ((10.1875^2-84.41015625)^(1/2)+10.1875)/(2*49) or x = (10.1875-(10.1875^2-84.41015625)^(1/2))/(2*49)

x = ((10.1875^2-84.41015625)^(1/2)+10.1875)/98 or x = (10.1875-(10.1875^2-84.41015625)^(1/2))/98

(x-((10.1875-(10.1875^2-84.41015625)^(1/2))/98))*(x-(((10.1875^2-84.41015625)^(1/2)+10.1875)/98)) = 0

((x-((10.1875-(10.1875^2-84.41015625)^(1/2))/98))*(x-(((10.1875^2-84.41015625)^(1/2)+10.1875)/98)))/((0.09375-x)^2) = 0

((x-((10.1875-(10.1875^2-84.41015625)^(1/2))/98))*(x-(((10.1875^2-84.41015625)^(1/2)+10.1875)/98)))/((0.09375-x)^2) = 0 // * (0.09375-x)^2

(x-((10.1875-(10.1875^2-84.41015625)^(1/2))/98))*(x-(((10.1875^2-84.41015625)^(1/2)+10.1875)/98)) = 0

( x-(((10.1875^2-84.41015625)^(1/2)+10.1875)/98) )

x-(((10.1875^2-84.41015625)^(1/2)+10.1875)/98) = 0 // + ((10.1875^2-84.41015625)^(1/2)+10.1875)/98

x = ((10.1875^2-84.41015625)^(1/2)+10.1875)/98

( x-((10.1875-(10.1875^2-84.41015625)^(1/2))/98) )

x-((10.1875-(10.1875^2-84.41015625)^(1/2))/98) = 0 // + (10.1875-(10.1875^2-84.41015625)^(1/2))/98

x = (10.1875-(10.1875^2-84.41015625)^(1/2))/98

x in { ((10.1875^2-84.41015625)^(1/2)+10.1875)/98, (10.1875-(10.1875^2-84.41015625)^(1/2))/98 }

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