(y/4+1)/y^2/16-1

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Solution for (y/4+1)/y^2/16-1 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)

((y/4+1)/(y^2))/16-1 = 0

(1/4*y+1)/(16*y^2)-1 = 0

(1/4*y+1)/(16*y^2)+(-1*16*y^2)/(16*y^2) = 0

1/4*y-1*16*y^2+1 = 0

1/4*y-16*y^2+1 = 0

1/4*y-16*y^2+1 = 0

1/4*y-16*y^2+1 = 0

DELTA = (1/4)^2-(-16*1*4)

DELTA = 1025/16

DELTA > 0

y = ((1025/16)^(1/2)-1/4)/(-16*2) or y = (-(1025/16)^(1/2)-1/4)/(-16*2)

y = ((1025/16)^(1/2)-1/4)/(-32) or y = ((1025/16)^(1/2)+1/4)/32

(y-(((1025/16)^(1/2)-1/4)/(-32)))*(y-(((1025/16)^(1/2)+1/4)/32)) = 0

((y-(((1025/16)^(1/2)-1/4)/(-32)))*(y-(((1025/16)^(1/2)+1/4)/32)))/(16*y^2) = 0

((y-(((1025/16)^(1/2)-1/4)/(-32)))*(y-(((1025/16)^(1/2)+1/4)/32)))/(16*y^2) = 0 // * 16*y^2

(y-(((1025/16)^(1/2)-1/4)/(-32)))*(y-(((1025/16)^(1/2)+1/4)/32)) = 0

( y-(((1025/16)^(1/2)+1/4)/32) )

y-(((1025/16)^(1/2)+1/4)/32) = 0 // + ((1025/16)^(1/2)+1/4)/32

y = ((1025/16)^(1/2)+1/4)/32

( y-(((1025/16)^(1/2)-1/4)/(-32)) )

y-(((1025/16)^(1/2)-1/4)/(-32)) = 0 // + ((1025/16)^(1/2)-1/4)/(-32)

y = ((1025/16)^(1/2)-1/4)/(-32)

y in { ((1025/16)^(1/2)+1/4)/32, ((1025/16)^(1/2)-1/4)/(-32) }

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