(v^2-3v-40)/(4v^2-24v-64)

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Solution for (v^2-3v-40)/(4v^2-24v-64) equation: 


D( v )

4*v^2-(24*v)-64 = 0

4*v^2-(24*v)-64 = 0

4*v^2-(24*v)-64 = 0

4*v^2-24*v-64 = 0

4*v^2-24*v-64 = 0

DELTA = (-24)^2-(-64*4*4)

DELTA = 1600

DELTA > 0

v = (1600^(1/2)+24)/(2*4) or v = (24-1600^(1/2))/(2*4)

v = 8 or v = -2

v in (-oo:-2) U (-2:8) U (8:+oo)

(v^2-(3*v)-40)/(4*v^2-(24*v)-64) = 0

(v^2-3*v-40)/(4*v^2-24*v-64) = 0

v^2-3*v-40 = 0

v^2-3*v-40 = 0

DELTA = (-3)^2-(-40*1*4)

DELTA = 169

DELTA > 0

v = (169^(1/2)+3)/(1*2) or v = (3-169^(1/2))/(1*2)

v = 8 or v = -5

(v+5)*(v-8) = 0

4*v^2-24*v-64 = 0

4*(v^2-6*v-16) = 0

v^2-6*v-16 = 0

DELTA = (-6)^2-(-16*1*4)

DELTA = 100

DELTA > 0

v = (100^(1/2)+6)/(1*2) or v = (6-100^(1/2))/(1*2)

v = 8 or v = -2

4*(v+2)*(v-8) = 0

((v+5)*(v-8))/(4*(v+2)*(v-8)) = 0

( v+5 )

v+5 = 0 // - 5

v = -5

( v-8 )

v-8 = 0 // + 8

v = 8

v in { 8} 

v = -5

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