(4v^2-100)/(v^2+2v-15)

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Solution for (4v^2-100)/(v^2+2v-15) equation: 


D( v )

v^2+2*v-15 = 0

v^2+2*v-15 = 0

v^2+2*v-15 = 0

v^2+2*v-15 = 0

DELTA = 2^2-(-15*1*4)

DELTA = 64

DELTA > 0

v = (64^(1/2)-2)/(1*2) or v = (-64^(1/2)-2)/(1*2)

v = 3 or v = -5

v in (-oo:-5) U (-5:3) U (3:+oo)

(4*v^2-100)/(v^2+2*v-15) = 0

v^2+2*v-15 = 0

v^2+2*v-15 = 0

DELTA = 2^2-(-15*1*4)

DELTA = 64

DELTA > 0

v = (64^(1/2)-2)/(1*2) or v = (-64^(1/2)-2)/(1*2)

v = 3 or v = -5

(v+5)*(v-3) = 0

(4*v^2-100)/((v+5)*(v-3)) = 0

4*v^2 = 100 // : 4

v^2 = 25

v^2 = 25 // ^ 1/2

abs(v) = 5

v = 5 or v = -5

v in { -5} 

v = 5

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