1/a=8/7a-1/14

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Solution for 1/a=8/7a-1/14 equation:


D( a )

a = 0

a = 0

a = 0

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

1/a = (8/7)*a-(1/14) // - (8/7)*a-(1/14)

1/a-((8/7)*a)+1/14 = 0

(-8/7)*a+1/a+1/14 = 0

1*a^-1-8/7*a^1+1/14*a^0 = 0

(1/14*a^1-8/7*a^2+1*a^0)/(a^1) = 0 // * a^2

a^1*(1/14*a^1-8/7*a^2+1*a^0) = 0

a^1

(-8/7)*a^2+(1/14)*a+1 = 0

(-8/7)*a^2+(1/14)*a+1 = 0

DELTA = (1/14)^2-(1*4*(-8/7))

DELTA = 897/196

DELTA > 0

a = ((897/196)^(1/2)-(1/14))/(2*(-8/7)) or a = (-(1/14)-(897/196)^(1/2))/(2*(-8/7))

a = -7/16*((897/196)^(1/2)-1/14) or a = 7/16*((897/196)^(1/2)+1/14)

a in { -7/16*((897/196)^(1/2)-1/14), 7/16*((897/196)^(1/2)+1/14)}

a in { -7/16*((897/196)^(1/2)-1/14), 7/16*((897/196)^(1/2)+1/14) }

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