Difference between revisions of ".Mzcw.NzIxOA"
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| − | kind are called [[underline]] adfected | + | kind are called [[underline]] adfected quadratic equations. [[/underline]] |
| + | |||
| + | 92. Simple quadratic equations are easily | ||
| + | solved by the extraction of the square root. | ||
| + | Thus if zz=25 it is evident, that [[formula]] | ||
| + | Or in general if zz=a the [[formula]]. But if | ||
| + | xx+6x=55, the value of a x is not as obvious. | ||
| + | |||
| + | 93. The method in this and in the like cases | ||
| + | is to compleat the square, which may always | ||
| + | be done by adding to both sides of the | ||
| + | equation, the square of half the known | ||
| + | quantity of the second term. Thus in the | ||
| + | equation xx+6x=55, the known quantity | ||
| + | of the second term 6x is 6, half of which | ||
| + | is 3, & the square of 3 is 9: Adding therefore | ||
| + | 9 to both sides of the equation, we shall | ||
| + | have xx+6x+9=55+9=64. Then extracting | ||
| + | the square root of both sides, we have | ||
| + | [[formula]] or x+3=8. Consequently | ||
Latest revision as of 19:31, 12 August 2018
(30) kind are called underline adfected quadratic equations. /underline
92. Simple quadratic equations are easily solved by the extraction of the square root. Thus if zz=25 it is evident, that formula Or in general if zz=a the formula. But if xx+6x=55, the value of a x is not as obvious.
93. The method in this and in the like cases is to compleat the square, which may always be done by adding to both sides of the equation, the square of half the known quantity of the second term. Thus in the equation xx+6x=55, the known quantity of the second term 6x is 6, half of which is 3, & the square of 3 is 9: Adding therefore 9 to both sides of the equation, we shall have xx+6x+9=55+9=64. Then extracting the square root of both sides, we have formula or x+3=8. Consequently
