(4/1)-(17/4b)=(4b)/(b+1)

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Solution for (4/1)-(17/4b)=(4b)/(b+1) equation:


D( b )

b+1 = 0

b+1 = 0

b+1 = 0

b+1 = 0 // - 1

b = -1

b in (-oo:-1) U (-1:+oo)

4/1-((17/4)*b) = (4*b)/(b+1) // - (4*b)/(b+1)

4/1-((4*b)/(b+1))-((17/4)*b) = 0

(-17/4)*b-4*b*(b+1)^-1+4 = 0

(-4*b)/(b+1)+(-17*b)/4+4 = 0

(-4*4*b)/(4*(b+1))+(-17*b*(b+1))/(4*(b+1))+(4^2*(b+1))/(4*(b+1)) = 0

4^2*(b+1)-17*b*(b+1)-4*4*b = 0

16*b-17*b^2-33*b+16 = 0

16-17*b^2-17*b = 0

16-17*b^2-17*b = 0

16-17*b^2-17*b = 0

DELTA = (-17)^2-(-17*4*16)

DELTA = 1377

DELTA > 0

b = (1377^(1/2)+17)/(-17*2) or b = (17-1377^(1/2))/(-17*2)

b = (9*17^(1/2)+17)/(-34) or b = (17-9*17^(1/2))/(-34)

(b-((9*17^(1/2)+17)/(-34)))*(b-((17-9*17^(1/2))/(-34))) = 0

((b-((9*17^(1/2)+17)/(-34)))*(b-((17-9*17^(1/2))/(-34))))/(4*(b+1)) = 0

((b-((9*17^(1/2)+17)/(-34)))*(b-((17-9*17^(1/2))/(-34))))/(4*(b+1)) = 0 // * 4*(b+1)

(b-((9*17^(1/2)+17)/(-34)))*(b-((17-9*17^(1/2))/(-34))) = 0

( b-((17-9*17^(1/2))/(-34)) )

b-((17-9*17^(1/2))/(-34)) = 0 // + (17-9*17^(1/2))/(-34)

b = (17-9*17^(1/2))/(-34)

( b-((9*17^(1/2)+17)/(-34)) )

b-((9*17^(1/2)+17)/(-34)) = 0 // + (9*17^(1/2)+17)/(-34)

b = (9*17^(1/2)+17)/(-34)

b in { (17-9*17^(1/2))/(-34), (9*17^(1/2)+17)/(-34) }

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