Complete the square by adding to both members the square of half the coefficient of x. Extract the square root of both members, and solve the sim259. Elementary Algebra - Page 275by Walter Randall Marsh - 1905 - 395 pagesFull view - About this book
| Elias Loomis - Algebra - 1855 - 356 pages
...which may be solved in the usual manner. EXAMPLE 1. Solve the equation a;'— 10x= — 16. Completing the square by adding to each member the square of half the coefficient of the second term, we have x'— Wx+25—25— 16=9. Extracting the root, x— 5= ±3. . Hence a;=5±3.... | |
| Elias Loomis - Algebra - 1856 - 280 pages
...other side of the equation. Ex. 1. What are the values of a; in the equation x'-IQx=-161 Completing the square by adding to each member the square of half the coefficient of the secx^ erm, we have z'-10a;+25=25- 6=0 Extracting the root, z-5=±3. Hence a;=5±3=8 or 2. Thus... | |
| Elias Loomis - Algebra - 1858 - 394 pages
...which may be solved in the usual manner. EXAMPLE 1. Solve the equation x'— 10x= — 16. Completing the square by adding to each member the square of half the coefficient of the second term, we have a;'— 10a;+25=25- 16=9. Extracting the root, x—5= ±3. Hence a;=5±3. x=5-3=2.... | |
| Elias Loomis - Algebra - 1864 - 386 pages
...which may be solved in the usual manner. EXAMPLE 1. Solve the equation a; ' — 10a;= —16. Completing the square by adding to each member the square of half the coefficient of the second term, we have a;'- 1(te+25=25-16=9. Extracting the root, x—5= ±3. Hence a;=5±3. Ans.... | |
| Mathematics - 1874 - 430 pages
...the whole eqution, then multiply the right hand member by the coefficient of j?, to the product add the square of half the coefficient of x, extract the square root of the result, connect this square root with half the coefficient of x with its sign changed and divide... | |
| Webster Wells - Algebra - 1879 - 468 pages
...result. BULE. Reduce the equation to the form x2 + px = q. Complete the square by adding to both members the square of half the coefficient of x. Extract the square root of both members, and solve the simple equation thus found. 1. Solve the equation x2 — 3 x = 4. Completing... | |
| Mathematics - 1874 - 834 pages
...the whole eqution, then multiply the right hand member by the coefficient of .v2, to the product add the square of half the coefficient of x, extract the square root of the result, connect this square root with half the coefficient of x with its sign changed and divide... | |
| Webster Wells - Algebra - 1885 - 324 pages
...rule: Reduce the equation to the, form я? -\-px = q. Complete the square by adding to both members the square of half the coefficient of x. Extract the square root of both members, and solve the simple equation thus formed. 1. Solve the equation 3ar — Sx= — 4. -rk.... | |
| Edward Albert Bowser - Algebra - 1888 - 868 pages
...member, and the coefficient of x1 is +1 ; complete the square by adding to each member of the equation the square of half the coefficient of x; extract the square root of both members, and solve the resulting simple equation. NOTE 4. — There are other ways of completing... | |
| William Frothingham Bradbury - Algebra - 1889 - 444 pages
...equation can be reduced by the following Bu1e. Reduce the equation to the form xz + bx = c, and add to each member the square of half the coefficient of x. Extract the square root of each member, and then reduce as in simple equations. NOTE 1. Reducing an equation to the form я? -f bx = с means,... | |
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