x^2/(x^2-3x+2)=6.3

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Solution for x^2/(x^2-3x+2)=6.3 equation: 


D( x )

x^2-(3*x)+2 = 0

x^2-(3*x)+2 = 0

x^2-(3*x)+2 = 0

x^2-3*x+2 = 0

x^2-3*x+2 = 0

DELTA = (-3)^2-(1*2*4)

DELTA = 1

DELTA > 0

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

x = 2 or x = 1

x in (-oo:1) U (1:2) U (2:+oo)

(x^2)/(x^2-(3*x)+2) = 6.3 // - 6.3

(x^2)/(x^2-(3*x)+2)-6.3 = 0

(x^2)/(x^2-3*x+2)-6.3 = 0

x^2-3*x+2 = 0

x^2-3*x+2 = 0

x^2-3*x+2 = 0

DELTA = (-3)^2-(1*2*4)

DELTA = 1

DELTA > 0

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

x = 2 or x = 1

(x-1)*(x-2) = 0

(x^2)/((x-1)*(x-2))-6.3 = 0

(x^2)/((x-1)*(x-2))+(-6.3*(x-1)*(x-2))/((x-1)*(x-2)) = 0

x^2-6.3*(x-1)*(x-2) = 0

18.9*x-5.3*x^2-12.6 = 0

18.9*x-5.3*x^2-12.6 = 0

18.9*x-5.3*x^2-12.6 = 0

DELTA = 18.9^2-(-12.6*(-5.3)*4)

DELTA = 18.9^2-267.12

DELTA = 90.09

DELTA > 0

x = ((18.9^2-267.12)^(1/2)-18.9)/(-5.3*2) or x = (-(18.9^2-267.12)^(1/2)-18.9)/(-5.3*2)

x = -0.09433962*((18.9^2-267.12)^(1/2)-18.9) or x = 0.09433962*((18.9^2-267.12)^(1/2)+18.9)

(x+0.09433962*((18.9^2-267.12)^(1/2)-18.9))*(x-0.09433962*((18.9^2-267.12)^(1/2)+18.9)) = 0

((x+0.09433962*((18.9^2-267.12)^(1/2)-18.9))*(x-0.09433962*((18.9^2-267.12)^(1/2)+18.9)))/((x-1)*(x-2)) = 0

((x+0.09433962*((18.9^2-267.12)^(1/2)-18.9))*(x-0.09433962*((18.9^2-267.12)^(1/2)+18.9)))/((x-1)*(x-2)) = 0 // * (x-1)*(x-2)

(x+0.09433962*((18.9^2-267.12)^(1/2)-18.9))*(x-0.09433962*((18.9^2-267.12)^(1/2)+18.9)) = 0

( x+0.09433962*((18.9^2-267.12)^(1/2)-18.9) )

x+0.09433962*((18.9^2-267.12)^(1/2)-18.9) = 0 // - 0.09433962*((18.9^2-267.12)^(1/2)-18.9)

x = -(0.09433962*((18.9^2-267.12)^(1/2)-18.9))

x = -0.09433962*((18.9^2-267.12)^(1/2)-18.9)

( x-0.09433962*((18.9^2-267.12)^(1/2)+18.9) )

x-0.09433962*((18.9^2-267.12)^(1/2)+18.9) = 0 // + -0.09433962*((18.9^2-267.12)^(1/2)+18.9)

x = -(-0.09433962*((18.9^2-267.12)^(1/2)+18.9))

x = 0.09433962*((18.9^2-267.12)^(1/2)+18.9)

x in { -0.09433962*((18.9^2-267.12)^(1/2)-18.9), 0.09433962*((18.9^2-267.12)^(1/2)+18.9) }

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