4.75=(x^2)/(0.03-x)

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Solution for 4.75=(x^2)/(0.03-x) equation: 


D( x )

0.03-x = 0

0.03-x = 0

0.03-x = 0

0.03-x = 0 // - 0.03

-x = -0.03 // * -1

x = 0.03

x in (-oo:0.03) U (0.03:+oo)

4.75 = (x^2)/(0.03-x) // - (x^2)/(0.03-x)

4.75-((x^2)/(0.03-x)) = 0

(-1*x^2)/(0.03-x)+4.75 = 0

(-1*x^2)/(0.03-x)+(4.75*(0.03-x))/(0.03-x) = 0

4.75*(0.03-x)-1*x^2 = 0

0.1425-x^2-4.75*x = 0

0.1425-x^2-4.75*x = 0

0.1425-x^2-4.75*x = 0

DELTA = (-4.75)^2-(-1*0.1425*4)

DELTA = 4.75^2+0.57

DELTA = 23.1325

DELTA > 0

x = ((4.75^2+0.57)^(1/2)+4.75)/(-1*2) or x = (4.75-(4.75^2+0.57)^(1/2))/(-1*2)

x = ((4.75^2+0.57)^(1/2)+4.75)/(-2) or x = (4.75-(4.75^2+0.57)^(1/2))/(-2)

(x-(((4.75^2+0.57)^(1/2)+4.75)/(-2)))*(x-((4.75-(4.75^2+0.57)^(1/2))/(-2))) = 0

((x-(((4.75^2+0.57)^(1/2)+4.75)/(-2)))*(x-((4.75-(4.75^2+0.57)^(1/2))/(-2))))/(0.03-x) = 0

((x-(((4.75^2+0.57)^(1/2)+4.75)/(-2)))*(x-((4.75-(4.75^2+0.57)^(1/2))/(-2))))/(0.03-x) = 0 // * 0.03-x

(x-(((4.75^2+0.57)^(1/2)+4.75)/(-2)))*(x-((4.75-(4.75^2+0.57)^(1/2))/(-2))) = 0

( x-(((4.75^2+0.57)^(1/2)+4.75)/(-2)) )

x-(((4.75^2+0.57)^(1/2)+4.75)/(-2)) = 0 // + ((4.75^2+0.57)^(1/2)+4.75)/(-2)

x = ((4.75^2+0.57)^(1/2)+4.75)/(-2)

( x-((4.75-(4.75^2+0.57)^(1/2))/(-2)) )

x-((4.75-(4.75^2+0.57)^(1/2))/(-2)) = 0 // + (4.75-(4.75^2+0.57)^(1/2))/(-2)

x = (4.75-(4.75^2+0.57)^(1/2))/(-2)

x in { ((4.75^2+0.57)^(1/2)+4.75)/(-2), (4.75-(4.75^2+0.57)^(1/2))/(-2) }

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