(3u^2-75)/(u^2-u-20)

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Solution for (3u^2-75)/(u^2-u-20) equation: 


D( u )

u^2-u-20 = 0

u^2-u-20 = 0

u^2-u-20 = 0

u^2-u-20 = 0

DELTA = (-1)^2-(-20*1*4)

DELTA = 81

DELTA > 0

u = (81^(1/2)+1)/(1*2) or u = (1-81^(1/2))/(1*2)

u = 5 or u = -4

u in (-oo:-4) U (-4:5) U (5:+oo)

(3*u^2-75)/(u^2-u-20) = 0

u^2-u-20 = 0

u^2-u-20 = 0

DELTA = (-1)^2-(-20*1*4)

DELTA = 81

DELTA > 0

u = (81^(1/2)+1)/(1*2) or u = (1-81^(1/2))/(1*2)

u = 5 or u = -4

(u+4)*(u-5) = 0

(3*u^2-75)/((u+4)*(u-5)) = 0

3*u^2 = 75 // : 3

u^2 = 25

u^2 = 25 // ^ 1/2

abs(u) = 5

u = 5 or u = -5

u in { 5} 

u = -5

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