0.36=(4x^2)/(0.1-x)

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Solution for 0.36=(4x^2)/(0.1-x) equation: 


D( x )

0.1-x = 0

0.1-x = 0

0.1-x = 0

0.1-x = 0 // - 0.1

-x = -0.1 // * -1

x = 0.1

x in (-oo:0.1) U (0.1:+oo)

0.36 = (4*x^2)/(0.1-x) // - (4*x^2)/(0.1-x)

0.36-((4*x^2)/(0.1-x)) = 0

0.36-4*x^2*(0.1-x)^-1 = 0

(-4*x^2)/(0.1-x)+0.36 = 0

(-4*x^2)/(0.1-x)+(0.36*(0.1-x))/(0.1-x) = 0

0.36*(0.1-x)-4*x^2 = 0

0.036-4*x^2-0.36*x = 0

0.036-4*x^2-0.36*x = 0

0.036-4*x^2-0.36*x = 0

DELTA = (-0.36)^2-(-4*0.036*4)

DELTA = 0.36^2+0.576

DELTA = 0.7056

DELTA > 0

x = ((0.36^2+0.576)^(1/2)+0.36)/(-4*2) or x = (0.36-(0.36^2+0.576)^(1/2))/(-4*2)

x = ((0.36^2+0.576)^(1/2)+0.36)/(-8) or x = (0.36-(0.36^2+0.576)^(1/2))/(-8)

(x-(((0.36^2+0.576)^(1/2)+0.36)/(-8)))*(x-((0.36-(0.36^2+0.576)^(1/2))/(-8))) = 0

((x-(((0.36^2+0.576)^(1/2)+0.36)/(-8)))*(x-((0.36-(0.36^2+0.576)^(1/2))/(-8))))/(0.1-x) = 0

((x-(((0.36^2+0.576)^(1/2)+0.36)/(-8)))*(x-((0.36-(0.36^2+0.576)^(1/2))/(-8))))/(0.1-x) = 0 // * 0.1-x

(x-(((0.36^2+0.576)^(1/2)+0.36)/(-8)))*(x-((0.36-(0.36^2+0.576)^(1/2))/(-8))) = 0

( x-(((0.36^2+0.576)^(1/2)+0.36)/(-8)) )

x-(((0.36^2+0.576)^(1/2)+0.36)/(-8)) = 0 // + ((0.36^2+0.576)^(1/2)+0.36)/(-8)

x = ((0.36^2+0.576)^(1/2)+0.36)/(-8)

( x-((0.36-(0.36^2+0.576)^(1/2))/(-8)) )

x-((0.36-(0.36^2+0.576)^(1/2))/(-8)) = 0 // + (0.36-(0.36^2+0.576)^(1/2))/(-8)

x = (0.36-(0.36^2+0.576)^(1/2))/(-8)

x in { ((0.36^2+0.576)^(1/2)+0.36)/(-8), (0.36-(0.36^2+0.576)^(1/2))/(-8) }

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