 | 1867 - 878 sider
...term of the square of any binomial quantity is equal to the square of half the co-efficient of tho root of the first term. From this principle is derived the following METHOD FOB COMPLETING THE SQUARE. Take the square of half the co-efficient of the first power of the... | |
 | William Nicholson - 1809 - 716 sider
...all the terms, that the equation may be reduced to this farm, x* ^ px = i J. Then add to both sides the square of half the co-efficient of the first power of the unkwown quantity, by which means the first side of the equation is made a complete square, and the... | |
 | Jeremiah Day - 1814 - 304 sider
...the last termof the square of any binomial quantity, is equal to th& square of half the co-efficient of the root of the first term. From this principle,...square of half the co-efficient of the first power if the unknown quantity, and add it to both sides of the equation. Before completing the square, the... | |
 | William Nicholson - 1819 - 432 sider
...all the terms, that the equation may be reduced to this form, x' ±px = ± g. Then add to both sides the square of half the co-efficient of the first power of the unknown quantity, by which means the first side 6f the equation is made a complete square, and the other consists of... | |
 | 1821 - 526 sider
...imaginary in an equation, of which the known term is negative in the second member, and greater than the square of half the coefficient of the first power of the unknown quantity, he gives a striking specimen of his way of investigating ' analytical facts,' and displaying the spirit... | |
 | Adrien Marie Legendre - 1825 - 570 sider
...the known term of an equation of the second degree is negative in the second member, and greater than the square of half the coefficient of the first power of the unknown quantity, this equation can have only imaginary roots. 115. The expressions > V'"^, a + \s~-bi and, in general,... | |
 | Silvestre François Lacroix - 1825 - 324 sider
...the known term of an equation of the second degree is negative in the second member, and greater than the square of half the coefficient, of the first power of the unknown quantity, this equation can have only imaginary roots. 1 1 5. The expressions v/"^6, a + <S~—i>, and, in general,... | |
 | Jeremiah Day - 1831 - 358 sider
...the last term of the square of any binomial quantity, is equal to the square of half the co-efficient of the root of the first term. From this principle is derived the following rale: 305. To COMPLETE THE SQUARE in an affected quadratic equation: TAKE THE SQUARE OF HALF THE CO-EFFICIENT... | |
 | Jeremiah Day - 1832 - 354 sider
...the last term of the square of any binomial quantity, is equal to the square of half the co-efficient of the root of the first term. From this principle...equation: TAKE THE SQUARE OF HALF THE CO-EFFICIENT OP THE FIRST POWER OF THE UNKNOWN QUANTITY, AND ADD IT TO BOTH SIDES OF THE EQUATION. Before completing... | |
 | Jeremiah Day - 1832 - 360 sider
...the last term of the square of any binomial quantity, is equal to the square of half the co-efficient of the root of the first term. From this principle is derived the following rule : J 305. To COMPLETE THE SQUARE in an affected quadratic equation : TAKE THE SQUARE OF HALF THE CO-EFFICIENT... | |
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In the same manner, it may be proved, that the last term of the square of any binomial quantity, is equal to the square of half the co-elficient of the root of the first term. 
