115=2x/(x-2)^2

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Solution for 115=2x/(x-2)^2 equation:


D( x )

(x-2)^2 = 0

(x-2)^2 = 0

(x-2)^2 = 0

x-2 = 0 // + 2

x = 2

x in (-oo:2) U (2:+oo)

115 = (2*x)/((x-2)^2) // - (2*x)/((x-2)^2)

115-((2*x)/((x-2)^2)) = 0

115-2*x*(x-2)^-2 = 0

(-2*x)/((x-2)^2)+115 = 0

(-2*x)/((x-2)^2)+(115*(x-2)^2)/((x-2)^2) = 0

115*(x-2)^2-2*x = 0

115*x^2-462*x+460 = 0

115*x^2-462*x+460 = 0

115*x^2-462*x+460 = 0

DELTA = (-462)^2-(4*115*460)

DELTA = 1844

DELTA > 0

x = (1844^(1/2)+462)/(2*115) or x = (462-1844^(1/2))/(2*115)

x = (2*461^(1/2)+462)/230 or x = (462-2*461^(1/2))/230

(x-((462-2*461^(1/2))/230))*(x-((2*461^(1/2)+462)/230)) = 0

((x-((462-2*461^(1/2))/230))*(x-((2*461^(1/2)+462)/230)))/((x-2)^2) = 0

((x-((462-2*461^(1/2))/230))*(x-((2*461^(1/2)+462)/230)))/((x-2)^2) = 0 // * (x-2)^2

(x-((462-2*461^(1/2))/230))*(x-((2*461^(1/2)+462)/230)) = 0

( x-((2*461^(1/2)+462)/230) )

x-((2*461^(1/2)+462)/230) = 0 // + (2*461^(1/2)+462)/230

x = (2*461^(1/2)+462)/230

( x-((462-2*461^(1/2))/230) )

x-((462-2*461^(1/2))/230) = 0 // + (462-2*461^(1/2))/230

x = (462-2*461^(1/2))/230

x in { (2*461^(1/2)+462)/230, (462-2*461^(1/2))/230 }

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