A Higher Algebra |
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9 a² a+b+c a²b a²b² a²c a²x a²x² a³b ab² ab³ ac² ax² ax³ Clear of fractions colog Complete the square convergent Equate values EXERCISE Extract root Extract the root Find the number given equation Hence log log minute-spaces in arc Multiply negative root number of days number of dollars number of feet number of gallons number of hours number of miles number of minute-spaces number of pounds number of shot number of yards positive root quotient reduced equation second numerator Simplify Substitute value Subt Subtract Sum of fractions sum of numerators term third numerator Transpose and combine value of x Whence whole number x²y x²y² x³y xy² xy³ ах
Popular passages
Page 138 - A man has a hours at his disposal. How far can he ride in a coach which travels b miles an hour, so as to return home in time, walking back at the rate of с miles an hour ? 9.
Page 424 - Of three numbers in geometrical progression, the sum of the first and second exceeds the third by 3, and the sum of the first and third exceeds the second by 21.
Page 219 - In a certain rectangular garden there is a strawberrybed whose sides are one-third of the lengths of the corresponding sides of the garden. The perimeter of the garden exceeds that of the bed by 200 yards ; and if the greater side of the garden be increased by 3, and the other by 5 yards, the garden will be enlarged by 645 square yards. Find the length and breadth of the garden.
Page 34 - A man has 6 sons, each of whom is 4 years older than his next younger brother; and the eldest is three times as old as the youngest. What is the age of each 1 Prob. 43. Divide the number 49 into two such parts, that the greater increased by 6, shall be to the less diminished by 11 as 9 to 2.
Page 412 - The sum of the squares of the extremes of four numbers in arithmetical progression is 200, and the sum of the squares of the means is 136. What are the numbers ? Ans.
Page 199 - There is a number consisting of two digits, the second of which is greater than the first, and if the number be divided by the sum of its digits, the quotient is 4...
Page 150 - A cask contains 12 gallons of wine and 18 gallons of water ; another cask contains 9 gallons of wine and 3 gallons of water. How many gallons must be drawn from each cask to produce a mixture containing 7 gallons of wine and 7 gallons of water ? 71.
Page 134 - A and B together can do a piece of work in 12 days, which B and C together can do in 16 days. After 'A' has been working at it for 5 days and B for 7 days, C finishes it in 13 days.
Page 426 - There are four numbers in geometrical progression, the second of which is less than the fourth by 24 ; and the sum of the extremes is to the sum of the means, as 7 to 3. What are the numbers ? Ans.
Page 398 - ... inch thick. Find its diameter, having given that the area of a circle varies as the square of its diameter.