0.15=x^2/(0.3-x)^2

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Solution for 0.15=x^2/(0.3-x)^2 equation: 


D( x )

(0.3-x)^2 = 0

(0.3-x)^2 = 0

(0.3-x)^2 = 0

0.3-x = 0 // - 0.3

-x = -0.3 // * -1

x = 0.3

x in (-oo:0.3) U (0.3:+oo)

0.15 = (x^2)/((0.3-x)^2) // - (x^2)/((0.3-x)^2)

0.15-((x^2)/((0.3-x)^2)) = 0

(-1*x^2)/((0.3-x)^2)+0.15 = 0

(-1*x^2)/((0.3-x)^2)+(0.15*(0.3-x)^2)/((0.3-x)^2) = 0

0.15*(0.3-x)^2-1*x^2 = 0

0.0135-0.85*x^2-0.09*x = 0

0.0135-0.85*x^2-0.09*x = 0

0.0135-0.85*x^2-0.09*x = 0

DELTA = (-0.09)^2-(-0.85*0.0135*4)

DELTA = 0.09^2+0.0459

DELTA = 0.054

DELTA > 0

x = ((0.09^2+0.0459)^(1/2)+0.09)/(-0.85*2) or x = (0.09-(0.09^2+0.0459)^(1/2))/(-0.85*2)

x = -0.58823529*((0.09^2+0.0459)^(1/2)+0.09) or x = -0.58823529*(0.09-(0.09^2+0.0459)^(1/2))

(x+0.58823529*((0.09^2+0.0459)^(1/2)+0.09))*(x+0.58823529*(0.09-(0.09^2+0.0459)^(1/2))) = 0

((x+0.58823529*((0.09^2+0.0459)^(1/2)+0.09))*(x+0.58823529*(0.09-(0.09^2+0.0459)^(1/2))))/((0.3-x)^2) = 0

((x+0.58823529*((0.09^2+0.0459)^(1/2)+0.09))*(x+0.58823529*(0.09-(0.09^2+0.0459)^(1/2))))/((0.3-x)^2) = 0 // * (0.3-x)^2

(x+0.58823529*((0.09^2+0.0459)^(1/2)+0.09))*(x+0.58823529*(0.09-(0.09^2+0.0459)^(1/2))) = 0

( x+0.58823529*((0.09^2+0.0459)^(1/2)+0.09) )

x+0.58823529*((0.09^2+0.0459)^(1/2)+0.09) = 0 // - 0.58823529*((0.09^2+0.0459)^(1/2)+0.09)

x = -(0.58823529*((0.09^2+0.0459)^(1/2)+0.09))

x = -0.58823529*((0.09^2+0.0459)^(1/2)+0.09)

( x+0.58823529*(0.09-(0.09^2+0.0459)^(1/2)) )

x+0.58823529*(0.09-(0.09^2+0.0459)^(1/2)) = 0 // - 0.58823529*(0.09-(0.09^2+0.0459)^(1/2))

x = -(0.58823529*(0.09-(0.09^2+0.0459)^(1/2)))

x = -0.58823529*(0.09-(0.09^2+0.0459)^(1/2))

x in { -0.58823529*((0.09^2+0.0459)^(1/2)+0.09), -0.58823529*(0.09-(0.09^2+0.0459)^(1/2)) }

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