How Are g1, g2, g3 Derived and What Does L Represent in Numerical Analysis?

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To get [itex]g_1[/itex], they simply added x to both sides of [itex]x^3- x- 5= 0[/itex] to get [itex]x^3- 5= x[/itex].

To get [itex]g_2[/itex], they added x+ 5 to both sides to get [itex]x^3= x+ 5[/itex] and took the cube root of both sides.

To get [itex]g_3[/itex], they subtracted 5 from both sides to get [itex]x^3- x= 5[/itex], then factored, [itex]x(x^2- 1)= 5[/itex] and, finally, divided both sides by [itex]x^2- 1[/itex] to get [itex]x= 5/(x^2- 1)[/itex].
 
ok i solved a similar equation:
[tex]x^3+2x^2+4-x=0[/tex]
[tex]g1=x^3+2x^2+4[/tex]

why for g1 L=0.5
how to find L for other g
what is the meaning of L?
 
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