(4-7y^2)/(8y^2+3y)

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Solution for (4-7y^2)/(8y^2+3y) equation:


D( y )

8*y^2+3*y = 0

8*y^2+3*y = 0

8*y^2+3*y = 0

8*y^2+3*y = 0

DELTA = 3^2-(0*4*8)

DELTA = 9

DELTA > 0

y = (9^(1/2)-3)/(2*8) or y = (-9^(1/2)-3)/(2*8)

y = 0 or y = -3/8

y in (-oo:-3/8) U (-3/8:0) U (0:+oo)

(4-(7*y^2))/(8*y^2+3*y) = 0

(4-7*y^2)/(8*y^2+3*y) = 0

8*y^2+3*y = 0

y*(8*y+3) = 0

8*y+3 = 0 // - 3

8*y = -3 // : 8

y = -3/8

y*(y+3/8) = 0

(4-7*y^2)/(y*(y+3/8)) = 0

-7*y^2 = -4 // : -7

y^2 = 4/7

y^2 = 4/7 // ^ 1/2

abs(y) = (4/7)^(1/2)

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

y in { (4/7)^(1/2), -(4/7)^(1/2) }

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