roots to be 5 and -5. Changing the signs of the alternate terms EXPLANATION.-We proceed as in the preceding example till we At this point we commence to apply decimal contractions, accord Commencing with column IV, we have 21.8X.03.65, which added to column III gives 148.49. Then 148.49X.03 4.455, which added to column II gives 325.757. Then 325.757.03 = 9.7727, which added to column I gives .5202. Again adding .65 to column III, we have 149.14. Then 149.14.03 = 4.474, which added to column II gives 330.23, after dropping one place. Again, adding .65 to column III gives 150 after dropping two places. In like manner we continue till the work is finished. NOTE.—Observe, as a general rule, to contract the several columns, for each root figure, as follows:-Column I, 0 place; column II, 1 place; column III, 2 places; column IV, 3 places; and so on. Find the real roots of the following equations: NOTE.-Full solutions of the examples above may be found in the Key. |