3r-4/r=7/8

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Solution for 3r-4/r=7/8 equation: 


D( r )

r = 0

r = 0

r = 0

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

3*r-(4/r) = 7/8 // - 7/8

3*r-(4/r)-(7/8) = 0

3*r-4*r^-1-7/8 = 0

3*r^1-4*r^-1-7/8*r^0 = 0

(3*r^2-7/8*r^1-4*r^0)/(r^1) = 0 // * r^2

r^1*(3*r^2-7/8*r^1-4*r^0) = 0

r^1

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

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

DELTA = (-7/8)^2-(-4*3*4)

DELTA = 3121/64

DELTA > 0

r = ((3121/64)^(1/2)-(-7/8))/(2*3) or r = (-(-7/8)-(3121/64)^(1/2))/(2*3)

r = ((3121/64)^(1/2)+7/8)/6 or r = (7/8-(3121/64)^(1/2))/6

r in { (7/8-(3121/64)^(1/2))/6, ((3121/64)^(1/2)+7/8)/6} 

r in { (7/8-(3121/64)^(1/2))/6, ((3121/64)^(1/2)+7/8)/6 }

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