Algebra for BeginnersMacmillan, 1895 - 188 σελίδες |
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Σελίδα
... FRACTIONS INVOLVING PAGE 1 7 11 16 19 21 31 38 42 44 52 59 64 SIMPLE EXPRESSIONS ONLY . XIII . SIMULTANEOUS EQUATIONS . 71 77 XIV . PROBLEMS LEADING TO SIMULTANEOUS EQUATIONS XV . INVOLUTION ཝྱཎྜཱསྤྲབ 85 89 XVI . EVOLUTION 93 XVII ...
... FRACTIONS INVOLVING PAGE 1 7 11 16 19 21 31 38 42 44 52 59 64 SIMPLE EXPRESSIONS ONLY . XIII . SIMULTANEOUS EQUATIONS . 71 77 XIV . PROBLEMS LEADING TO SIMULTANEOUS EQUATIONS XV . INVOLUTION ཝྱཎྜཱསྤྲབ 85 89 XVI . EVOLUTION 93 XVII ...
Σελίδα
... FRACTIONS PAGE 116 122 XX . LOWEST COMMON MULTIPLE OF COMPOUND EXPRESSIONS 126 XXI . ADDITION AND SUBTRACTION OF FRACTIONS 129 XXII . MISCELLANEOUS FRACTIONS XXIII . HARDER EQUATIONS . 139 146 XXIV . HARDER PROBLEMS · 153 ...
... FRACTIONS PAGE 116 122 XX . LOWEST COMMON MULTIPLE OF COMPOUND EXPRESSIONS 126 XXI . ADDITION AND SUBTRACTION OF FRACTIONS 129 XXII . MISCELLANEOUS FRACTIONS XXIII . HARDER EQUATIONS . 139 146 XXIV . HARDER PROBLEMS · 153 ...
Σελίδα 3
... than unity are usually kept in the form of improper fractions . Example 4. If a = 6 , x = 7 , z = 5 , find the value of 13 axz . 10 Here 13 10 13 axz = × 6 × 7 × 5 = 273 . 10 EXAMPLES I. a . If a = 5 , b 1. ] 3 DEFINITIONS . SUBSTITUTIONS .
... than unity are usually kept in the form of improper fractions . Example 4. If a = 6 , x = 7 , z = 5 , find the value of 13 axz . 10 Here 13 10 13 axz = × 6 × 7 × 5 = 273 . 10 EXAMPLES I. a . If a = 5 , b 1. ] 3 DEFINITIONS . SUBSTITUTIONS .
Σελίδα 40
... fraction is a kind of vinculum . Thus is equivalent to 1 ( x - 5 ) . Example 4. Find the value of - x - 5 3 84-7 [ - 11 x - 4 { - 17x + 3 ( 8 - 9 - 5x ) } ] . - -- The expression = 84-7 [ - 11x − 4 { − 17x + 3 ( 8 −9 + 5x ) } ] = 84 ...
... fraction is a kind of vinculum . Thus is equivalent to 1 ( x - 5 ) . Example 4. Find the value of - x - 5 3 84-7 [ - 11 x - 4 { - 17x + 3 ( 8 - 9 - 5x ) } ] . - -- The expression = 84-7 [ - 11x − 4 { − 17x + 3 ( 8 −9 + 5x ) } ] = 84 ...
Σελίδα 54
... fractions ; then transpose all the terms containing the unknown quantity to one side of the equation , and the known quantities to the other . Collect the terms on each side ; divide both sides by the coefficient of the unknown quantity ...
... fractions ; then transpose all the terms containing the unknown quantity to one side of the equation , and the known quantities to the other . Collect the terms on each side ; divide both sides by the coefficient of the unknown quantity ...
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.