(y^2-5y-24)/(5y^2-20y-160)

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Solution for (y^2-5y-24)/(5y^2-20y-160) equation:


D( y )

5*y^2-(20*y)-160 = 0

5*y^2-(20*y)-160 = 0

5*y^2-(20*y)-160 = 0

5*y^2-20*y-160 = 0

5*y^2-20*y-160 = 0

DELTA = (-20)^2-(-160*4*5)

DELTA = 3600

DELTA > 0

y = (3600^(1/2)+20)/(2*5) or y = (20-3600^(1/2))/(2*5)

y = 8 or y = -4

y in (-oo:-4) U (-4:8) U (8:+oo)

(y^2-(5*y)-24)/(5*y^2-(20*y)-160) = 0

(y^2-5*y-24)/(5*y^2-20*y-160) = 0

y^2-5*y-24 = 0

y^2-5*y-24 = 0

DELTA = (-5)^2-(-24*1*4)

DELTA = 121

DELTA > 0

y = (121^(1/2)+5)/(1*2) or y = (5-121^(1/2))/(1*2)

y = 8 or y = -3

(y+3)*(y-8) = 0

5*y^2-20*y-160 = 0

5*(y^2-4*y-32) = 0

y^2-4*y-32 = 0

DELTA = (-4)^2-(-32*1*4)

DELTA = 144

DELTA > 0

y = (144^(1/2)+4)/(1*2) or y = (4-144^(1/2))/(1*2)

y = 8 or y = -4

5*(y+4)*(y-8) = 0

((y+3)*(y-8))/(5*(y+4)*(y-8)) = 0

( y+3 )

y+3 = 0 // - 3

y = -3

( y-8 )

y-8 = 0 // + 8

y = 8

y in { 8}

y = -3

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