4/y+2/7=4/7y

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Solution for 4/y+2/7=4/7y equation:


D( y )

y = 0

y = 0

y = 0

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

4/y+2/7 = (4/7)*y // - (4/7)*y

4/y-((4/7)*y)+2/7 = 0

(-4/7)*y+4/y+2/7 = 0

4*y^-1-4/7*y^1+2/7*y^0 = 0

(2/7*y^1-4/7*y^2+4*y^0)/(y^1) = 0 // * y^2

y^1*(2/7*y^1-4/7*y^2+4*y^0) = 0

y^1

(-4/7)*y^2+(2/7)*y+4 = 0

(-4/7)*y^2+(2/7)*y+4 = 0

DELTA = (2/7)^2-(4*4*(-4/7))

DELTA = 452/49

DELTA > 0

y = ((452/49)^(1/2)-(2/7))/(2*(-4/7)) or y = (-(2/7)-(452/49)^(1/2))/(2*(-4/7))

y = -7/8*((452/49)^(1/2)-2/7) or y = 7/8*((452/49)^(1/2)+2/7)

y in { -7/8*((452/49)^(1/2)-2/7), 7/8*((452/49)^(1/2)+2/7)}

y in { -7/8*((452/49)^(1/2)-2/7), 7/8*((452/49)^(1/2)+2/7) }

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