1.667=(0.9-2y)/(0.6+2y)^2

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Solution for 1.667=(0.9-2y)/(0.6+2y)^2 equation:


D( y )

(2*y+0.6)^2 = 0

(2*y+0.6)^2 = 0

(2*y+0.6)^2 = 0

2*y+0.6 = 0 // - 0.6

2*y = -0.6 // : 2

y = -0.6/2

y = -0.3

y in (-oo:-0.3) U (-0.3:+oo)

1.667 = (0.9-(2*y))/((2*y+0.6)^2) // - (0.9-(2*y))/((2*y+0.6)^2)

1.667-((0.9-(2*y))/((2*y+0.6)^2)) = 0

1.667-((0.9-2*y)/((2*y+0.6)^2)) = 0

(-1*(0.9-2*y))/((2*y+0.6)^2)+1.667 = 0

(-1*(0.9-2*y))/((2*y+0.6)^2)+(1.667*(2*y+0.6)^2)/((2*y+0.6)^2) = 0

1.667*(2*y+0.6)^2-1*(0.9-2*y) = 0

6.668*y^2+6.0008*y-0.29988 = 0

6.668*y^2+6.0008*y-0.29988 = 0

6.668*y^2+6.0008*y-0.29988 = 0

DELTA = 6.0008^2-(-0.29988*4*6.668)

DELTA = 6.0008^2+7.99839936

DELTA = 44.008

DELTA > 0

y = ((6.0008^2+7.99839936)^(1/2)-6.0008)/(2*6.668) or y = (-(6.0008^2+7.99839936)^(1/2)-6.0008)/(2*6.668)

y = 0.074985*((6.0008^2+7.99839936)^(1/2)-6.0008) or y = -0.074985*((6.0008^2+7.99839936)^(1/2)+6.0008)

(y+0.074985*((6.0008^2+7.99839936)^(1/2)+6.0008))*(y-0.074985*((6.0008^2+7.99839936)^(1/2)-6.0008)) = 0

((y+0.074985*((6.0008^2+7.99839936)^(1/2)+6.0008))*(y-0.074985*((6.0008^2+7.99839936)^(1/2)-6.0008)))/((2*y+0.6)^2) = 0

((y+0.074985*((6.0008^2+7.99839936)^(1/2)+6.0008))*(y-0.074985*((6.0008^2+7.99839936)^(1/2)-6.0008)))/((2*y+0.6)^2) = 0 // * (2*y+0.6)^2

(y+0.074985*((6.0008^2+7.99839936)^(1/2)+6.0008))*(y-0.074985*((6.0008^2+7.99839936)^(1/2)-6.0008)) = 0

( y+0.074985*((6.0008^2+7.99839936)^(1/2)+6.0008) )

y+0.074985*((6.0008^2+7.99839936)^(1/2)+6.0008) = 0 // - 0.074985*((6.0008^2+7.99839936)^(1/2)+6.0008)

y = -(0.074985*((6.0008^2+7.99839936)^(1/2)+6.0008))

y = -0.074985*((6.0008^2+7.99839936)^(1/2)+6.0008)

( y-0.074985*((6.0008^2+7.99839936)^(1/2)-6.0008) )

y-0.074985*((6.0008^2+7.99839936)^(1/2)-6.0008) = 0 // + -0.074985*((6.0008^2+7.99839936)^(1/2)-6.0008)

y = -(-0.074985*((6.0008^2+7.99839936)^(1/2)-6.0008))

y = 0.074985*((6.0008^2+7.99839936)^(1/2)-6.0008)

y in { -0.074985*((6.0008^2+7.99839936)^(1/2)+6.0008), 0.074985*((6.0008^2+7.99839936)^(1/2)-6.0008) }

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