1.8=x^2/(0.083-x)

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Solution for 1.8=x^2/(0.083-x) equation:


D( x )

0.083-x = 0

0.083-x = 0

0.083-x = 0

0.083-x = 0 // - 0.083

-x = -0.083 // * -1

x = 0.083

x in (-oo:0.083) U (0.083:+oo)

1.8 = (x^2)/(0.083-x) // - (x^2)/(0.083-x)

1.8-((x^2)/(0.083-x)) = 0

(-1*x^2)/(0.083-x)+1.8 = 0

(-1*x^2)/(0.083-x)+(1.8*(0.083-x))/(0.083-x) = 0

1.8*(0.083-x)-1*x^2 = 0

0.1494-x^2-1.8*x = 0

0.1494-x^2-1.8*x = 0

0.1494-x^2-1.8*x = 0

DELTA = (-1.8)^2-(-1*0.1494*4)

DELTA = 1.8^2+0.5976

DELTA = 3.8376

DELTA > 0

x = ((1.8^2+0.5976)^(1/2)+1.8)/(-1*2) or x = (1.8-(1.8^2+0.5976)^(1/2))/(-1*2)

x = ((1.8^2+0.5976)^(1/2)+1.8)/(-2) or x = (1.8-(1.8^2+0.5976)^(1/2))/(-2)

(x-(((1.8^2+0.5976)^(1/2)+1.8)/(-2)))*(x-((1.8-(1.8^2+0.5976)^(1/2))/(-2))) = 0

((x-(((1.8^2+0.5976)^(1/2)+1.8)/(-2)))*(x-((1.8-(1.8^2+0.5976)^(1/2))/(-2))))/(0.083-x) = 0

((x-(((1.8^2+0.5976)^(1/2)+1.8)/(-2)))*(x-((1.8-(1.8^2+0.5976)^(1/2))/(-2))))/(0.083-x) = 0 // * 0.083-x

(x-(((1.8^2+0.5976)^(1/2)+1.8)/(-2)))*(x-((1.8-(1.8^2+0.5976)^(1/2))/(-2))) = 0

( x-(((1.8^2+0.5976)^(1/2)+1.8)/(-2)) )

x-(((1.8^2+0.5976)^(1/2)+1.8)/(-2)) = 0 // + ((1.8^2+0.5976)^(1/2)+1.8)/(-2)

x = ((1.8^2+0.5976)^(1/2)+1.8)/(-2)

( x-((1.8-(1.8^2+0.5976)^(1/2))/(-2)) )

x-((1.8-(1.8^2+0.5976)^(1/2))/(-2)) = 0 // + (1.8-(1.8^2+0.5976)^(1/2))/(-2)

x = (1.8-(1.8^2+0.5976)^(1/2))/(-2)

x in { ((1.8^2+0.5976)^(1/2)+1.8)/(-2), (1.8-(1.8^2+0.5976)^(1/2))/(-2) }

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