(1/2a)=(2/a)-(3/8)

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Solution for (1/2a)=(2/a)-(3/8) equation:


D( a )

a = 0

a = 0

a = 0

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

(1/2)*a = 2/a-(3/8) // - 2/a-(3/8)

(1/2)*a-(2/a)+3/8 = 0

(1/2)*a-2*a^-1+3/8 = 0

1/2*a^1-2*a^-1+3/8*a^0 = 0

(1/2*a^2+3/8*a^1-2*a^0)/(a^1) = 0 // * a^2

a^1*(1/2*a^2+3/8*a^1-2*a^0) = 0

a^1

(1/2)*a^2+(3/8)*a-2 = 0

(1/2)*a^2+(3/8)*a-2 = 0

DELTA = (3/8)^2-(-2*4*(1/2))

DELTA = 265/64

DELTA > 0

a = ((265/64)^(1/2)-(3/8))/(2*(1/2)) or a = (-(3/8)-(265/64)^(1/2))/(2*(1/2))

a = (265/64)^(1/2)-3/8 or a = -((265/64)^(1/2)+3/8)

a in { -((265/64)^(1/2)+3/8), (265/64)^(1/2)-3/8}

a in { -((265/64)^(1/2)+3/8), (265/64)^(1/2)-3/8 }

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