(196x-2x^2)/((98-x)^2)=1

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Solution for (196x-2x^2)/((98-x)^2)=1 equation: 


D( x )

(98-x)^2 = 0

(98-x)^2 = 0

(98-x)^2 = 0

98-x = 0 // - 98

-x = -98 // * -1

x = 98

x in (-oo:98) U (98:+oo)

(196*x-(2*x^2))/((98-x)^2) = 1 // - 1

(196*x-(2*x^2))/((98-x)^2)-1 = 0

(196*x-2*x^2)/((98-x)^2)-1 = 0

(196*x-2*x^2)/((98-x)^2)+(-1*(98-x)^2)/((98-x)^2) = 0

196*x-1*(98-x)^2-2*x^2 = 0

392*x-3*x^2-9604 = 0

392*x-3*x^2-9604 = 0

392*x-3*x^2-9604 = 0

DELTA = 392^2-(-9604*(-3)*4)

DELTA = 38416

DELTA > 0

x = (38416^(1/2)-392)/(-3*2) or x = (-38416^(1/2)-392)/(-3*2)

x = 98/3 or x = 98

(x-98/3)*(x-98) = 0

((x-98/3)*(x-98))/((98-x)^2) = 0

((x-98/3)*(x-98))/((98-x)^2) = 0 // * (98-x)^2

(x-98/3)*(x-98) = 0

( x-98/3 )

x-98/3 = 0 // + 98/3

x = 98/3

( x-98 )

x-98 = 0 // + 98

x = 98

x in { 98} 

x = 98/3

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