x^2/((0,5-x)^2)=5,9

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Solution for x^2/((0,5-x)^2)=5,9 equation:


D( x )

(0.5-x)^2 = 0

(0.5-x)^2 = 0

(0.5-x)^2 = 0

0.5-x = 0 // - 0.5

-x = -0.5 // * -1

x = 0.5

x in (-oo:0.5) U (0.5:+oo)

(x^2)/((0.5-x)^2) = 5.9 // - 5.9

(x^2)/((0.5-x)^2)-5.9 = 0

(x^2)/((0.5-x)^2)+(-5.9*(0.5-x)^2)/((0.5-x)^2) = 0

x^2-5.9*(0.5-x)^2 = 0

5.9*x-4.9*x^2-5.9*0.5^2 = 0

5.9*x-4.9*x^2-5.9*0.5^2 = 0

5.9*x-4.9*x^2-5.9*0.5^2 = 0

DELTA = 5.9^2-(-5.9*(-4.9)*4*0.5^2)

DELTA = 5.9^2-115.64*0.5^2

DELTA = 5.9

DELTA > 0

x = ((5.9^2-115.64*0.5^2)^(1/2)-5.9)/(-4.9*2) or x = (-(5.9^2-115.64*0.5^2)^(1/2)-5.9)/(-4.9*2)

x = -0.10204082*((5.9^2-115.64*0.5^2)^(1/2)-5.9) or x = 0.10204082*((5.9^2-115.64*0.5^2)^(1/2)+5.9)

(x+0.10204082*((5.9^2-115.64*0.5^2)^(1/2)-5.9))*(x-0.10204082*((5.9^2-115.64*0.5^2)^(1/2)+5.9)) = 0

((x+0.10204082*((5.9^2-115.64*0.5^2)^(1/2)-5.9))*(x-0.10204082*((5.9^2-115.64*0.5^2)^(1/2)+5.9)))/((0.5-x)^2) = 0

((x+0.10204082*((5.9^2-115.64*0.5^2)^(1/2)-5.9))*(x-0.10204082*((5.9^2-115.64*0.5^2)^(1/2)+5.9)))/((0.5-x)^2) = 0 // * (0.5-x)^2

(x+0.10204082*((5.9^2-115.64*0.5^2)^(1/2)-5.9))*(x-0.10204082*((5.9^2-115.64*0.5^2)^(1/2)+5.9)) = 0

( x+0.10204082*((5.9^2-115.64*0.5^2)^(1/2)-5.9) )

x+0.10204082*((5.9^2-115.64*0.5^2)^(1/2)-5.9) = 0 // - 0.10204082*((5.9^2-115.64*0.5^2)^(1/2)-5.9)

x = -(0.10204082*((5.9^2-115.64*0.5^2)^(1/2)-5.9))

x = -0.10204082*((5.9^2-115.64*0.5^2)^(1/2)-5.9)

( x-0.10204082*((5.9^2-115.64*0.5^2)^(1/2)+5.9) )

x-0.10204082*((5.9^2-115.64*0.5^2)^(1/2)+5.9) = 0 // + -0.10204082*((5.9^2-115.64*0.5^2)^(1/2)+5.9)

x = -(-0.10204082*((5.9^2-115.64*0.5^2)^(1/2)+5.9))

x = 0.10204082*((5.9^2-115.64*0.5^2)^(1/2)+5.9)

x in { -0.10204082*((5.9^2-115.64*0.5^2)^(1/2)-5.9), 0.10204082*((5.9^2-115.64*0.5^2)^(1/2)+5.9) }

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