4r-4/r=8/7

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


D( r )

r = 0

r = 0

r = 0

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

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

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

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

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

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

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

r^1

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

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

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

DELTA = 3200/49

DELTA > 0

r = ((3200/49)^(1/2)-(-8/7))/(2*4) or r = (-(-8/7)-(3200/49)^(1/2))/(2*4)

r = ((3200/49)^(1/2)+8/7)/8 or r = (8/7-(3200/49)^(1/2))/8

r in { (8/7-(3200/49)^(1/2))/8, ((3200/49)^(1/2)+8/7)/8}

r in { (8/7-(3200/49)^(1/2))/8, ((3200/49)^(1/2)+8/7)/8 }

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