(x)(x)/(0.0975-x)=1.80

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Solution for (x)(x)/(0.0975-x)=1.80 equation: 


D( x )

0.0975-x = 0

0.0975-x = 0

0.0975-x = 0

0.0975-x = 0 // - 0.0975

-x = -0.0975 // * -1

x = 0.0975

x in (-oo:0.0975) U (0.0975:+oo)

(x*x)/(0.0975-x) = 1.8 // - 1.8

(x*x)/(0.0975-x)-1.8 = 0

(x^2)/(0.0975-x)-1.8 = 0

(x^2)/(0.0975-x)+(-1.8*(0.0975-x))/(0.0975-x) = 0

x^2-1.8*(0.0975-x) = 0

x^2+1.8*x-0.1755 = 0

x^2+1.8*x-0.1755 = 0

x^2+1.8*x-0.1755 = 0

DELTA = 1.8^2-(-0.1755*1*4)

DELTA = 1.8^2+0.702

DELTA = 3.942

DELTA > 0

x = ((1.8^2+0.702)^(1/2)-1.8)/(1*2) or x = (-(1.8^2+0.702)^(1/2)-1.8)/(1*2)

x = ((1.8^2+0.702)^(1/2)-1.8)/2 or x = (-((1.8^2+0.702)^(1/2)+1.8))/2

(x+((1.8^2+0.702)^(1/2)+1.8)/2)*(x-(((1.8^2+0.702)^(1/2)-1.8)/2)) = 0

((x+((1.8^2+0.702)^(1/2)+1.8)/2)*(x-(((1.8^2+0.702)^(1/2)-1.8)/2)))/(0.0975-x) = 0

((x+((1.8^2+0.702)^(1/2)+1.8)/2)*(x-(((1.8^2+0.702)^(1/2)-1.8)/2)))/(0.0975-x) = 0 // * 0.0975-x

(x+((1.8^2+0.702)^(1/2)+1.8)/2)*(x-(((1.8^2+0.702)^(1/2)-1.8)/2)) = 0

( x+((1.8^2+0.702)^(1/2)+1.8)/2 )

x+((1.8^2+0.702)^(1/2)+1.8)/2 = 0 // - ((1.8^2+0.702)^(1/2)+1.8)/2

x = -(((1.8^2+0.702)^(1/2)+1.8)/2)

( x-(((1.8^2+0.702)^(1/2)-1.8)/2) )

x-(((1.8^2+0.702)^(1/2)-1.8)/2) = 0 // + ((1.8^2+0.702)^(1/2)-1.8)/2

x = ((1.8^2+0.702)^(1/2)-1.8)/2

x in { -(((1.8^2+0.702)^(1/2)+1.8)/2), ((1.8^2+0.702)^(1/2)-1.8)/2 }

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