7.02*10^(-6)=4x^2/(3.4-x)

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Solution for 7.02*10^(-6)=4x^2/(3.4-x) equation: 


D( x )

3.4-x = 0

3.4-x = 0

3.4-x = 0

3.4-x = 0 // - 3.4

-x = -3.4 // * -1

x = 3.4

x in (-oo:3.4) U (3.4:+oo)

7.02*10^-6 = (4*x^2)/(3.4-x) // - (4*x^2)/(3.4-x)

7.02*10^-6-((4*x^2)/(3.4-x)) = 0

7.02*10^-6-4*x^2*(3.4-x)^-1 = 0

(-4*x^2)/(3.4-x)+0.00000702 = 0

(-4*x^2)/(3.4-x)+(0.00000702*(3.4-x))/(3.4-x) = 0

0.00000702*(3.4-x)-4*x^2 = 0

0.000023868-4*x^2-0.00000702*x = 0

0.000023868-4*x^2-0.00000702*x = 0

0.000023868-4*x^2-0.00000702*x = 0

DELTA = (-0.00000702)^2-(-4*0.000023868*4)

DELTA = 0.000381888

DELTA > 0

x = (0.000381888^(1/2)+0.00000702)/(-4*2) or x = (0.00000702-0.000381888^(1/2))/(-4*2)

x = (0.000381888^(1/2)+0.00000702)/(-8) or x = (0.00000702-0.000381888^(1/2))/(-8)

(x-((0.000381888^(1/2)+0.00000702)/(-8)))*(x-((0.00000702-0.000381888^(1/2))/(-8))) = 0

((x-((0.000381888^(1/2)+0.00000702)/(-8)))*(x-((0.00000702-0.000381888^(1/2))/(-8))))/(3.4-x) = 0

((x-((0.000381888^(1/2)+0.00000702)/(-8)))*(x-((0.00000702-0.000381888^(1/2))/(-8))))/(3.4-x) = 0 // * 3.4-x

(x-((0.000381888^(1/2)+0.00000702)/(-8)))*(x-((0.00000702-0.000381888^(1/2))/(-8))) = 0

( x-((0.00000702-0.000381888^(1/2))/(-8)) )

x-((0.00000702-0.000381888^(1/2))/(-8)) = 0 // + (0.00000702-0.000381888^(1/2))/(-8)

x = (0.00000702-0.000381888^(1/2))/(-8)

( x-((0.000381888^(1/2)+0.00000702)/(-8)) )

x-((0.000381888^(1/2)+0.00000702)/(-8)) = 0 // + (0.000381888^(1/2)+0.00000702)/(-8)

x = (0.000381888^(1/2)+0.00000702)/(-8)

x in { (0.00000702-0.000381888^(1/2))/(-8), (0.000381888^(1/2)+0.00000702)/(-8) }

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