(x^2)/(x^2-0.8x+0.16)=53.3

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Solution for (x^2)/(x^2-0.8x+0.16)=53.3 equation: 


D( x )

x^2-(0.8*x)+0.16 = 0

x^2-(0.8*x)+0.16 = 0

x^2-(0.8*x)+0.16 = 0

x^2-0.8*x+0.16 = 0

x^2-0.8*x+0.16 = 0

DELTA = (-0.8)^2-(0.16*1*4)

DELTA = 0.8^2-0.64

DELTA = 0

DELTA = 0

x = 0.8/(1*2)

x = 0.4 or x = 0.4

x in (-oo:0.4) U (0.4:+oo)

(x^2)/(x^2-(0.8*x)+0.16) = 53.3 // - 53.3

(x^2)/(x^2-(0.8*x)+0.16)-53.3 = 0

(x^2)/(x^2-0.8*x+0.16)-53.3 = 0

x^2-0.8*x+0.16 = 0

x^2-0.8*x+0.16 = 0

x^2-0.8*x+0.16 = 0

DELTA = (-0.8)^2-(0.16*1*4)

DELTA = 0.8^2-0.64

DELTA = 0

DELTA = 0

x = 0.8/(1*2)

x = 0.4 or x = 0.4

(x-0.4)^2 = 0

(x^2)/((x-0.4)^2)-53.3 = 0

(x^2)/((x-0.4)^2)+(-53.3*(x-0.4)^2)/((x-0.4)^2) = 0

x^2-53.3*(x-0.4)^2 = 0

42.64*x-52.3*x^2-8.528 = 0

42.64*x-52.3*x^2-8.528 = 0

42.64*x-52.3*x^2-8.528 = 0

DELTA = 42.64^2-(-52.3*(-8.528)*4)

DELTA = 42.64^2-1784.0576

DELTA = 34.112

DELTA > 0

x = ((42.64^2-1784.0576)^(1/2)-42.64)/(-52.3*2) or x = (-(42.64^2-1784.0576)^(1/2)-42.64)/(-52.3*2)

x = -0.00956023*((42.64^2-1784.0576)^(1/2)-42.64) or x = 0.00956023*((42.64^2-1784.0576)^(1/2)+42.64)

(x+0.00956023*((42.64^2-1784.0576)^(1/2)-42.64))*(x-0.00956023*((42.64^2-1784.0576)^(1/2)+42.64)) = 0

((x+0.00956023*((42.64^2-1784.0576)^(1/2)-42.64))*(x-0.00956023*((42.64^2-1784.0576)^(1/2)+42.64)))/((x-0.4)^2) = 0

((x+0.00956023*((42.64^2-1784.0576)^(1/2)-42.64))*(x-0.00956023*((42.64^2-1784.0576)^(1/2)+42.64)))/((x-0.4)^2) = 0 // * (x-0.4)^2

(x+0.00956023*((42.64^2-1784.0576)^(1/2)-42.64))*(x-0.00956023*((42.64^2-1784.0576)^(1/2)+42.64)) = 0

( x+0.00956023*((42.64^2-1784.0576)^(1/2)-42.64) )

x+0.00956023*((42.64^2-1784.0576)^(1/2)-42.64) = 0 // - 0.00956023*((42.64^2-1784.0576)^(1/2)-42.64)

x = -(0.00956023*((42.64^2-1784.0576)^(1/2)-42.64))

x = -0.00956023*((42.64^2-1784.0576)^(1/2)-42.64)

( x-0.00956023*((42.64^2-1784.0576)^(1/2)+42.64) )

x-0.00956023*((42.64^2-1784.0576)^(1/2)+42.64) = 0 // + -0.00956023*((42.64^2-1784.0576)^(1/2)+42.64)

x = -(-0.00956023*((42.64^2-1784.0576)^(1/2)+42.64))

x = 0.00956023*((42.64^2-1784.0576)^(1/2)+42.64)

x in { -0.00956023*((42.64^2-1784.0576)^(1/2)-42.64), 0.00956023*((42.64^2-1784.0576)^(1/2)+42.64) }

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