A Direct And General Method of Finding the Approximate Values of the Real Roots

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3 1 F {X) I flj ::= 1. 35 1. 36 1 " = 1. 3568 = (t.^, 10. Ar' — 15 a; 4- 21 ^0.
i, = 5, «;■ z= 0, I, -^ — b, F (x) = _2_a^— 21 3 x^ — 15' 5 I I*' (a;) = 2. 67247 = «, \ F. (x)= 1. 76915 =«fj — 5 j JF (a. ') = — 4. 44162 = «, 1. From which EQUATIONS OF THE FOURTH DE6BEE.
27. Let /(a;) = be :CAIVIPLES.
. (21) 11, /-'//7c/ ^/)e second and third roots of example 4, «;■ = 1. 4, a'. ;. =r — 1. 4, ^ (a) 1. 4 1 F (a-) = . COOOIS =;::, 1.^ | 3 ( (j, '» — 4) a|M-_l) 4 ( (. R2-^^~* + 3) 1. 4 I F
...ix) = . 443270 = a, 14 DIRECT METHOD OP" FINDING THE APPKOXIMATE VALUE!> 12. X* — ir' — Sx + 21 = 0.
/, = 4, /, = - 3, a\ = 2, al = 0, i \ F (x) = 3. 6796 = rt, 2 i " = 2.


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