7-7/(x-5)^2=0

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Solution for 7-7/(x-5)^2=0 equation: 


D( x )

(x-5)^2 = 0

(x-5)^2 = 0

(x-5)^2 = 0

x-5 = 0 // + 5

x = 5

x in (-oo:5) U (5:+oo)

7-(7/((x-5)^2)) = 0

7-7*(x-5)^-2 = 0

7-7/((x-5)^2) = 0

(7*(x-5)^2)/((x-5)^2)-7/((x-5)^2) = 0

7*(x-5)^2-7 = 0

7*x^2-70*x+168 = 0

7*x^2-70*x+168 = 0

7*(x^2-10*x+24) = 0

x^2-10*x+24 = 0

DELTA = (-10)^2-(1*4*24)

DELTA = 4

DELTA > 0

x = (4^(1/2)+10)/(1*2) or x = (10-4^(1/2))/(1*2)

x = 6 or x = 4

7*(x-4)*(x-6) = 0

(7*(x-4)*(x-6))/((x-5)^2) = 0

(7*(x-4)*(x-6))/((x-5)^2) = 0 // * (x-5)^2

7*(x-4)*(x-6) = 0

( x-4 )

x-4 = 0 // + 4

x = 4

( x-6 )

x-6 = 0 // + 6

x = 6

x in { 4, 6 }

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