Errors in CAS and Geometry
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10-14-2022, 08:21 PM
(This post was last modified: 10-14-2022 08:51 PM by klesl.)
Post: #8
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RE: Errors in CAS and Geometry
for x=2.0001
x^2-30=-26 ln(x-2)=-9.21 -26 doesn't equal to -9.21 A little bit mathematics: ln(x-2), where x is close to 2 can be rewritten as ln(d), d=x-2=1/10^n=ln(1)-ln(1/10^n)=0-ln(1)-ln(10^n)=0-0-n×ln(10)=-2.303n, n is number of decimal places (order), e.g. x=2.0001 so n=4 and ln(2.0001-2)=-4*2.303=-9.21 Based on the calculation above the order is between 11 (-25.328) and 12 (-27.631) and with respect to the order are whole number only (you cannot have 11.5 decimal places) this solution clearly doesn't exists |
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