(1+x)/(2x)=12x

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Solution for (1+x)/(2x)=12x equation:


D( x )

2*x = 0

2*x = 0

2*x = 0

2*x = 0 // : 2

x = 0

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

(x+1)/(2*x) = 12*x // - 12*x

(x+1)/(2*x)-(12*x) = 0

(x+1)/(2*x)-12*x = 0

(x+1)/(2*x)+(-12*2*x*x)/(2*x) = 0

x-12*2*x*x+1 = 0

x-24*x^2+1 = 0

x-24*x^2+1 = 0

x-24*x^2+1 = 0

DELTA = 1^2-(-24*1*4)

DELTA = 97

DELTA > 0

x = (97^(1/2)-1)/(-24*2) or x = (-97^(1/2)-1)/(-24*2)

x = (97^(1/2)-1)/(-48) or x = (97^(1/2)+1)/48

(x-((97^(1/2)-1)/(-48)))*(x-((97^(1/2)+1)/48)) = 0

((x-((97^(1/2)-1)/(-48)))*(x-((97^(1/2)+1)/48)))/(2*x) = 0

((x-((97^(1/2)-1)/(-48)))*(x-((97^(1/2)+1)/48)))/(2*x) = 0 // * 2*x

(x-((97^(1/2)-1)/(-48)))*(x-((97^(1/2)+1)/48)) = 0

( x-((97^(1/2)+1)/48) )

x-((97^(1/2)+1)/48) = 0 // + (97^(1/2)+1)/48

x = (97^(1/2)+1)/48

( x-((97^(1/2)-1)/(-48)) )

x-((97^(1/2)-1)/(-48)) = 0 // + (97^(1/2)-1)/(-48)

x = (97^(1/2)-1)/(-48)

x in { (97^(1/2)+1)/48, (97^(1/2)-1)/(-48) }

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