3y/y^2-7y+10

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Solution for 3y/y^2-7y+10 equation:


D( y )

y^2 = 0

y^2 = 0

y^2 = 0

1*y^2 = 0 // : 1

y^2 = 0

y = 0

y in (-oo:0) U (0:+oo)

(3*y)/(y^2)-(7*y)+10 = 0

(3*y)/(y^2)-7*y+10 = 0

3*y^-1-7*y^1+10*y^0 = 0

(10*y^1-7*y^2+3*y^0)/(y^1) = 0 // * y^2

y^1*(10*y^1-7*y^2+3*y^0) = 0

y^1

10*y-7*y^2+3 = 0

10*y-7*y^2+3 = 0

DELTA = 10^2-(-7*3*4)

DELTA = 84+100

DELTA = 184

DELTA > 0

y = ((84+100)^(1/2)-10)/(-7*2) or y = (-(84+100)^(1/2)-10)/(-7*2)

y = ((84+100)^(1/2)-10)/(-14) or y = ((84+100)^(1/2)+10)/14

y in { ((84+100)^(1/2)-10)/(-14), ((84+100)^(1/2)+10)/14}

y in { ((84+100)^(1/2)-10)/(-14), ((84+100)^(1/2)+10)/14 }

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