2x^2/(0.07-x)^2=49

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Solution for 2x^2/(0.07-x)^2=49 equation: 


D( x )

(0.07-x)^2 = 0

(0.07-x)^2 = 0

(0.07-x)^2 = 0

0.07-x = 0 // - 0.07

-x = -0.07 // * -1

x = 0.07

x in (-oo:0.07) U (0.07:+oo)

(2*x^2)/((0.07-x)^2) = 49 // - 49

(2*x^2)/((0.07-x)^2)-49 = 0

(2*x^2)/((0.07-x)^2)+(-49*(0.07-x)^2)/((0.07-x)^2) = 0

2*x^2-49*(0.07-x)^2 = 0

6.86*x-47*x^2-0.2401 = 0

6.86*x-47*x^2-0.2401 = 0

6.86*x-47*x^2-0.2401 = 0

DELTA = 6.86^2-(-47*(-0.2401)*4)

DELTA = 6.86^2-45.1388

DELTA = 1.9208

DELTA > 0

x = ((6.86^2-45.1388)^(1/2)-6.86)/(-47*2) or x = (-(6.86^2-45.1388)^(1/2)-6.86)/(-47*2)

x = ((6.86^2-45.1388)^(1/2)-6.86)/(-94) or x = ((6.86^2-45.1388)^(1/2)+6.86)/94

(x-(((6.86^2-45.1388)^(1/2)-6.86)/(-94)))*(x-(((6.86^2-45.1388)^(1/2)+6.86)/94)) = 0

((x-(((6.86^2-45.1388)^(1/2)-6.86)/(-94)))*(x-(((6.86^2-45.1388)^(1/2)+6.86)/94)))/((0.07-x)^2) = 0

((x-(((6.86^2-45.1388)^(1/2)-6.86)/(-94)))*(x-(((6.86^2-45.1388)^(1/2)+6.86)/94)))/((0.07-x)^2) = 0 // * (0.07-x)^2

(x-(((6.86^2-45.1388)^(1/2)-6.86)/(-94)))*(x-(((6.86^2-45.1388)^(1/2)+6.86)/94)) = 0

( x-(((6.86^2-45.1388)^(1/2)+6.86)/94) )

x-(((6.86^2-45.1388)^(1/2)+6.86)/94) = 0 // + ((6.86^2-45.1388)^(1/2)+6.86)/94

x = ((6.86^2-45.1388)^(1/2)+6.86)/94

( x-(((6.86^2-45.1388)^(1/2)-6.86)/(-94)) )

x-(((6.86^2-45.1388)^(1/2)-6.86)/(-94)) = 0 // + ((6.86^2-45.1388)^(1/2)-6.86)/(-94)

x = ((6.86^2-45.1388)^(1/2)-6.86)/(-94)

x in { ((6.86^2-45.1388)^(1/2)+6.86)/94, ((6.86^2-45.1388)^(1/2)-6.86)/(-94) }

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