x3+2x=110
has a solution between 4 and 5
use a trial and improvement method to find this solution
give the answer correct to one decimal place please


Sagot :

[tex]x^3+2x=110 \\ \\ test:4.5 \\ (4.5)^3+2(4.5)=110 \\ 91.125+9=110 \\ 100.125=110 \\ false \\ \\ test:4.75 \\ (4.75)^3+2(4.75)=110 \\ 107.17+9.5=110 \\ 116.67=110 \\ false \\ \\ test:4.6 \\ (4.6)^3+2(4.6)=110 \\ 97.33+9.2=110 \\ 106.53=110 \\ false \\ \\ test:4.65 \\ (4.65)^3+2(4.65)=110 \\ 100.7+9.3=110 \\ 110=110 \\ true \\ \\ solution:4.65[/tex]