3.18=(3+x)^2/(3-x)^2

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Solution for 3.18=(3+x)^2/(3-x)^2 equation: 


D( x )

(3-x)^2 = 0

(3-x)^2 = 0

(3-x)^2 = 0

3-x = 0 // - 3

-x = -3 // * -1

x = 3

x in (-oo:3) U (3:+oo)

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

3.18-(((x+3)^2)/((3-x)^2)) = 0

(-1*(x+3)^2)/((3-x)^2)+3.18 = 0

(-1*(x+3)^2)/((3-x)^2)+(3.18*(3-x)^2)/((3-x)^2) = 0

3.18*(3-x)^2-1*(x+3)^2 = 0

2.18*x^2-25.08*x+19.62 = 0

2.18*x^2-25.08*x+19.62 = 0

2.18*x^2-25.08*x+19.62 = 0

DELTA = (-25.08)^2-(2.18*4*19.62)

DELTA = 25.08^2-171.0864

DELTA = 457.92

DELTA > 0

x = ((25.08^2-171.0864)^(1/2)+25.08)/(2*2.18) or x = (25.08-(25.08^2-171.0864)^(1/2))/(2*2.18)

x = 0.2293578*((25.08^2-171.0864)^(1/2)+25.08) or x = 0.2293578*(25.08-(25.08^2-171.0864)^(1/2))

(x-0.2293578*(25.08-(25.08^2-171.0864)^(1/2)))*(x-0.2293578*((25.08^2-171.0864)^(1/2)+25.08)) = 0

((x-0.2293578*(25.08-(25.08^2-171.0864)^(1/2)))*(x-0.2293578*((25.08^2-171.0864)^(1/2)+25.08)))/((3-x)^2) = 0

((x-0.2293578*(25.08-(25.08^2-171.0864)^(1/2)))*(x-0.2293578*((25.08^2-171.0864)^(1/2)+25.08)))/((3-x)^2) = 0 // * (3-x)^2

(x-0.2293578*(25.08-(25.08^2-171.0864)^(1/2)))*(x-0.2293578*((25.08^2-171.0864)^(1/2)+25.08)) = 0

( x-0.2293578*((25.08^2-171.0864)^(1/2)+25.08) )

x-0.2293578*((25.08^2-171.0864)^(1/2)+25.08) = 0 // + -0.2293578*((25.08^2-171.0864)^(1/2)+25.08)

x = -(-0.2293578*((25.08^2-171.0864)^(1/2)+25.08))

x = 0.2293578*((25.08^2-171.0864)^(1/2)+25.08)

( x-0.2293578*(25.08-(25.08^2-171.0864)^(1/2)) )

x-0.2293578*(25.08-(25.08^2-171.0864)^(1/2)) = 0 // + -0.2293578*(25.08-(25.08^2-171.0864)^(1/2))

x = -(-0.2293578*(25.08-(25.08^2-171.0864)^(1/2)))

x = 0.2293578*(25.08-(25.08^2-171.0864)^(1/2))

x in { 0.2293578*((25.08^2-171.0864)^(1/2)+25.08), 0.2293578*(25.08-(25.08^2-171.0864)^(1/2)) }

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