0.33=x/(6-x)^2

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Solution for 0.33=x/(6-x)^2 equation: 


D( x )

(6-x)^2 = 0

(6-x)^2 = 0

(6-x)^2 = 0

6-x = 0 // - 6

-x = -6 // * -1

x = 6

x in (-oo:6) U (6:+oo)

0.33 = x/((6-x)^2) // - x/((6-x)^2)

0.33-(x/((6-x)^2)) = 0

(-1*x)/((6-x)^2)+0.33 = 0

(-1*x)/((6-x)^2)+(0.33*(6-x)^2)/((6-x)^2) = 0

0.33*(6-x)^2-1*x = 0

0.33*x^2-4.96*x+11.88 = 0

0.33*x^2-4.96*x+11.88 = 0

0.33*x^2-4.96*x+11.88 = 0

DELTA = (-4.96)^2-(0.33*4*11.88)

DELTA = 4.96^2-15.6816

DELTA = 8.92

DELTA > 0

x = ((4.96^2-15.6816)^(1/2)+4.96)/(0.33*2) or x = (4.96-(4.96^2-15.6816)^(1/2))/(0.33*2)

x = 1.51515152*((4.96^2-15.6816)^(1/2)+4.96) or x = 1.51515152*(4.96-(4.96^2-15.6816)^(1/2))

(x-1.51515152*(4.96-(4.96^2-15.6816)^(1/2)))*(x-1.51515152*((4.96^2-15.6816)^(1/2)+4.96)) = 0

((x-1.51515152*(4.96-(4.96^2-15.6816)^(1/2)))*(x-1.51515152*((4.96^2-15.6816)^(1/2)+4.96)))/((6-x)^2) = 0

((x-1.51515152*(4.96-(4.96^2-15.6816)^(1/2)))*(x-1.51515152*((4.96^2-15.6816)^(1/2)+4.96)))/((6-x)^2) = 0 // * (6-x)^2

(x-1.51515152*(4.96-(4.96^2-15.6816)^(1/2)))*(x-1.51515152*((4.96^2-15.6816)^(1/2)+4.96)) = 0

( x-1.51515152*((4.96^2-15.6816)^(1/2)+4.96) )

x-1.51515152*((4.96^2-15.6816)^(1/2)+4.96) = 0 // + -1.51515152*((4.96^2-15.6816)^(1/2)+4.96)

x = -(-1.51515152*((4.96^2-15.6816)^(1/2)+4.96))

x = 1.51515152*((4.96^2-15.6816)^(1/2)+4.96)

( x-1.51515152*(4.96-(4.96^2-15.6816)^(1/2)) )

x-1.51515152*(4.96-(4.96^2-15.6816)^(1/2)) = 0 // + -1.51515152*(4.96-(4.96^2-15.6816)^(1/2))

x = -(-1.51515152*(4.96-(4.96^2-15.6816)^(1/2)))

x = 1.51515152*(4.96-(4.96^2-15.6816)^(1/2))

x in { 1.51515152*((4.96^2-15.6816)^(1/2)+4.96), 1.51515152*(4.96-(4.96^2-15.6816)^(1/2)) }

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