Algebra for BeginnersMacmillan, 1895 - 188 σελίδες |
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Αποτελέσματα 1 - 5 από τα 89.
Σελίδα 3
... Example 1. What is the difference in meaning between 3a and a3 ? By 3a we mean the product of the quantities 3 and a ... Example 2. If b = 5 , distinguish between 462 and 264 . Here whereas Example 3 . Here 4b2 = 4 xbx b = 4x5x5 = 100 ...
... Example 1. What is the difference in meaning between 3a and a3 ? By 3a we mean the product of the quantities 3 and a ... Example 2. If b = 5 , distinguish between 462 and 264 . Here whereas Example 3 . Here 4b2 = 4 xbx b = 4x5x5 = 100 ...
Σελίδα 4
... Example 1. If c = 3 , d = 5 , find the value of 16c1d3 . Here Note . 16cd3 = 16 × 34 × 53 = ( 16 × 53 ) × 3 = 2000 × 81 = 162000 . The beginner should observe that by a suitable combination of the factors some labour has been avoided ...
... Example 1. If c = 3 , d = 5 , find the value of 16c1d3 . Here Note . 16cd3 = 16 × 34 × 53 = ( 16 × 53 ) × 3 = 2000 × 81 = 162000 . The beginner should observe that by a suitable combination of the factors some labour has been avoided ...
Σελίδα 6
... Example . If a = 2 , b = 0 , x = 5 , y = 3 , find the value of 5a3- ab2 + 2x2y + 3bxy . The expression = ( 5 × 23 ) − 0 + ( 2 × 52 × 3 ) +0 = 40 + 150 = 190 . Note . The two zero terms do not affect the result . 16. In working examples ...
... Example . If a = 2 , b = 0 , x = 5 , y = 3 , find the value of 5a3- ab2 + 2x2y + 3bxy . The expression = ( 5 × 23 ) − 0 + ( 2 × 52 × 3 ) +0 = 40 + 150 = 190 . Note . The two zero terms do not affect the result . 16. In working examples ...
Σελίδα 9
... Example 1. The sum of 17x and 8x is 9x , for the difference of 17 and 8 is 9 , and the greater is positive . Example 2. To find the sum of Sa , - 9a , - -a , 3a , 4a , -lla , a . The sum of the coefficients of the positive terms is 16 ...
... Example 1. The sum of 17x and 8x is 9x , for the difference of 17 and 8 is 9 , and the greater is positive . Example 2. To find the sum of Sa , - 9a , - -a , 3a , 4a , -lla , a . The sum of the coefficients of the positive terms is 16 ...
Σελίδα 13
... Example 1. Find the sum of 3a - 5b + 2c , 2a + 3b - d , - - - 4a + 2b ) The sum = ( 3a - 5b + 2c ) + ( 2a + 3b − d ) + ( 3a5b + 2c + 2a + 3b - d - 4a + 2b = = 3a + 2a - 4a - 5b + 3b + 2b + 2c - d = a + 2c - d , by collecting like terms ...
... Example 1. Find the sum of 3a - 5b + 2c , 2a + 3b - d , - - - 4a + 2b ) The sum = ( 3a - 5b + 2c ) + ( 2a + 3b − d ) + ( 3a5b + 2c + 2a + 3b - d - 4a + 2b = = 3a + 2a - 4a - 5b + 3b + 2b + 2c - d = a + 2c - d , by collecting like terms ...
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.