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On line Solution of Monovariate Equation:
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> The history of univariate equation calculation
(2-ex)/10=
100/(1+r)+200/(1+r)^2=100/r*(1-1/(1+r)^4)
1/(1+r)+2/(1+r)^2=1/r-10/(1+r)^4
100/r*(1-1/(1+r)^4)=100/(1+r)+200/(1+r)^2
x(38-x)=180
(0.1+x)/(1-x)=2.41
4x/(2x+1)^2/(−x^2+1)^(1/2)−x^2/(2x+1)/(−x^2+1)^(3/2)+8(−x^2+1)^(1/2)/(2x+1)^3−1/(2x+1)/(−x^2+1)^(1/2)=15
4x/(2x+1)^2/(−x^2+1)^(1/2)−x^2/(2x+1)/(−x^2+1)^(3/2)+8(−x^2+1)^(1/2)/(2x+1)^3−1/(2x+1)/(−x^2+1)^(1/2)=25
4x/(2x+1)^2/(−x^2+1)^(1/2)−x^2/(2x+1)/(−x^2+1)^(3/2)+8(−x^2+1)^(1/2)/(2x+1)^3−1/(2x+1)/(−x^2+1)^(1/2)=50
4x/(2x+1)^2/(−x^2+1)^(1/2)−x^2/(2x+1)/(−x^2+1)^(3/2)+8(−x^2+1)^(1/2)/(2x+1)^3−1/(2x+1)/(−x^2+1)^(1/2)=100
-4.9x^2+68.6x=0
4x/(2x+1)^2/(−x^2+1)^(1/2)−x^2/(2x+1)/(−x^2+1)^(3/2)+8(−x^2+1)^(1/2)/(2x+1)^3−1/(2x+1)/(−x^2+1)^(1/2)=10
4x/(2x+1)^2/(−x^2+1)^(1/2)−x^2/(2x+1)/(−x^2+1)^(3/2)+8(−x^2+1)^(1/2)/(2x+1)^3−1/(2x+1)/(−x^2+1)^(1/2)=1000
4x/(2x+1)^2/(−x^2+1)^(1/2)−x^2/(2x+1)/(−x^2+1)^(3/2)+8(−x^2+1)^(1/2)/(2x+1)^3−1/(2x+1)/(−x^2+1)^(1/2)=0.1
(x+60)^2+(-0.39*x-112.6)^2=250^2
4x/(2x+1)^2/(−x^2+1)^(1/2)−x^2/(2x+1)/(−x^2+1)^(3/2)+8(−x^2+1)^(1/2)/(2x+1)^3−1/(2x+1)/(−x^2+1)^(1/2)=-0.1
(x+80)^2+(-0.39*x-32.6)^2=250^2
4x/(2x+1)^2/(−x^2+1)^(1/2)−x^2/(2x+1)/(−x^2+1)^(3/2)+8(−x^2+1)^(1/2)/(2x+1)^3−1/(2x+1)/(−x^2+1)^(1/2)
(a^3*a^5+(3a^4)^2)/a^2
(x+80)^2+(-0.39*x-112.6+80)^2=250^2
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