Algebra for BeginnersMacmillan, 1895 - 188 σελίδες |
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Σελίδα 44
... given expression . Thus the square root of 81 is 9 , because 92 = 81 . The square root of a is denoted by 2 / a , or more simply a . Similarly the cube , fourth , fifth , & c . , root of any expression is that quantity whose third ...
... given expression . Thus the square root of 81 is 9 , because 92 = 81 . The square root of a is denoted by 2 / a , or more simply a . Similarly the cube , fourth , fifth , & c . , root of any expression is that quantity whose third ...
Σελίδα 46
... given in Chapters v . and vi . are universally true . 3 Example 1. xxx = x2 + 1 = xH ̧ Example 2. a ̄1 × a1 = a ̄ 4+ 4 = a ° = 1. [ See Note , Art . 50. ] Example 3 . -1 - 2ab1 × 3a ̄b6a2 ̄ ̄1 + = Gab ̄ = 6b ̄ ‡ ̧ = 2-31-1 Example 4 ...
... given in Chapters v . and vi . are universally true . 3 Example 1. xxx = x2 + 1 = xH ̧ Example 2. a ̄1 × a1 = a ̄ 4+ 4 = a ° = 1. [ See Note , Art . 50. ] Example 3 . -1 - 2ab1 × 3a ̄b6a2 ̄ ̄1 + = Gab ̄ = 6b ̄ ‡ ̧ = 2-31-1 Example 4 ...
Σελίδα 51
... given that the coefficients of the terms taken in descending powers of a are 9 , 12 , 2 , 4 , 1 . - 21. Write down the value of the product of 3a2b + 5a3 - ab2 and ab2 + 5a3 - 3a2b , having given that the coefficients of the terms when ...
... given that the coefficients of the terms taken in descending powers of a are 9 , 12 , 2 , 4 , 1 . - 21. Write down the value of the product of 3a2b + 5a3 - ab2 and ab2 + 5a3 - 3a2b , having given that the coefficients of the terms when ...
Σελίδα 64
... given in Chapter IX . Example I. Find two numbers whose sum is 28 , and whose difference is 4 . Let x be the smaller number , then x + 4 is the greater . Their sum is x + ( x + 4 ) , which is to be equal to 28 . Hence x + x + 4 = 28 ...
... given in Chapter IX . Example I. Find two numbers whose sum is 28 , and whose difference is 4 . Let x be the smaller number , then x + 4 is the greater . Their sum is x + ( x + 4 ) , which is to be equal to 28 . Hence x + x + 4 = 28 ...
Σελίδα 70
... given to some men , women , and children , each man receiving $ 2 , each woman $ 1 , and each child 50 cents . The number of men was 4 less than twice the number of women , and the number of children was 1 more than twice the number of ...
... given to some men , women , and children , each man receiving $ 2 , each woman $ 1 , and each child 50 cents . The number of men was 4 less than twice the number of women , and the number of children was 1 more than twice the number of ...
Συχνά εμφανιζόμενοι όροι και φράσεις
a²+b² acres algebraical sum Arithmetic arranged beginner cents CHAPTER coefficient Completing the square compound expressions convenient cube root descending powers difference digits dimes Divide division divisor Elementary Algebra equal examples see Elementary EXAMPLES XVII exceeds Find the highest Find the lowest find the number Find the product Find the square Find the sum find the value following expressions given expressions half-dollars Hence highest common factor lowest common denominator lowest common multiple lowest terms miles an hour miles per hour minute-hand Multiply negative numerator and denominator obtain quadratic equation quotient Reduce to lowest remainder removing brackets Resolve into factors result rule of signs side simple equation simultaneous equations Solve the equations square root Subtract Transposing trinomial unknown quantities walk whence write yards α α
Δημοφιλή αποσπάσματα
Σελίδα 91 - The product is a2+2a6-}-62; from which it appears, that the square of the sum of two quantities, is equal to the square of the first plus twice the product of the first by the second, plus the square of the second.
Σελίδα 107 - Conversely, the difference of the squares of any two quantities is equal to the product of the sum and the difference of the two quantities.
Σελίδα 89 - It is evident from the Rule of Signs that (1) no even power of any quantity can be negative; (2) any odd power of a quantity will have the same sign as the quantity itself. NOTE. It is especially worthy of notice that the square of every expression, whether positive or negative, is positive.
Σελίδα 54 - Transpose all the terms containing the unknown quantity to one side of the equation, and the "known quantities to the other.