Elementary AlgebraMacmillan and Company, 1895 - 478 páginas |
Dentro del libro
Resultados 1-5 de 84
Página vii
... Multiplication Multiplication of Compound Expressions 23 25 VI . Division 34 Division of Compound Expressions 36 VII . Removal and Insertions of Brackets 42 VIII . Simple Equations . 48 IX . Symbolical Expression 53 X. Problems Leading ...
... Multiplication Multiplication of Compound Expressions 23 25 VI . Division 34 Division of Compound Expressions 36 VII . Removal and Insertions of Brackets 42 VIII . Simple Equations . 48 IX . Symbolical Expression 53 X. Problems Leading ...
Página 2
... multiplied together the result is called the product . One important difference between the notation of Arithmetic and Algebra should be here remarked . In Arithmetic the product of 2 and 3 is written 2 × 3 , whereas in Algebra the ...
... multiplied together the result is called the product . One important difference between the notation of Arithmetic and Algebra should be here remarked . In Arithmetic the product of 2 and 3 is written 2 × 3 , whereas in Algebra the ...
Página 22
... difference from zero , and add this last result to 2x2 - 2x3 – 4 . 19. Subtract 3x2 - 5x + 1 from unity , and add 5x2 - 6x to the result . CHAPTER V. MULTIPLICATION . MULTIPLICATION OF SIMPLE EXPRESSIONS . 29. 22 ALGEBRA .
... difference from zero , and add this last result to 2x2 - 2x3 – 4 . 19. Subtract 3x2 - 5x + 1 from unity , and add 5x2 - 6x to the result . CHAPTER V. MULTIPLICATION . MULTIPLICATION OF SIMPLE EXPRESSIONS . 29. 22 ALGEBRA .
Página 23
... MULTIPLICATION OF SIMPLE EXPRESSIONS . 29. WHEN there is no sign between symbols or expressions , it is understood ... multiplied together contain powers of different letters , a similar method is used . Example . 5a3b2 × 8a2bx3 = 5aaabb ...
... MULTIPLICATION OF SIMPLE EXPRESSIONS . 29. WHEN there is no sign between symbols or expressions , it is understood ... multiplied together contain powers of different letters , a similar method is used . Example . 5a3b2 × 8a2bx3 = 5aaabb ...
Página 24
... multiply two simple expressions together , multiply their coefficients , and add the indices of the like letters . The rule may be extended to cases where more than two expressions are to be multiplied together . Example 1 . x3 × x3 ...
... multiply two simple expressions together , multiply their coefficients , and add the indices of the like letters . The rule may be extended to cases where more than two expressions are to be multiplied together . Example 1 . x3 × x3 ...
Contenido
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Términos y frases comunes
a+3b a+b+c a₁ a²+b² arithmetic means arithmetical arranged ascending powers b₁ beginner Binomial Theorem cents CHAPTER coefficients column compound expression continued fraction convergent cube root decimal denote digits dimes Divide dividend division divisor equal EXAMPLES XI Find the highest find the number Find the square Find the sum find the value following expressions given expressions greater harmonic mean Hence highest common factor integer less letters logarithm lowest common multiple method miles an hour Multiply number of terms numerator and denominator obtain partial fractions prefixed prove quadratic quadratic equation quotient ratio remainder Resolve into factors result rule of signs second term Simplify SIMULTANEOUS EQUATIONS solution square root subtraction Suppose surds symbols Transposing unknown quantity walk whence write yards zero
Pasajes populares
Página 331 - The logarithm of a product is equal to the sum of the logarithms of its factors.
Página 256 - In a quadratic equation wJiere the coefficient of the first term is unity, (i) the sum of the roots is equal to the coefficient of x with its sign changed ; (ii) the product of the roots is equal to the third term.
Página 168 - Thus the 4th root (2x2) = the square root of the square root ; the sixth root (3x2) = the cube root of the square root, or the square root of the cube root.
Página 178 - A basket of oranges is emptied by one person taking half of them and one more, a second person taking half of the remainder and one more, and a third person taking half of the remainder and six more. How many did the basket contain at first ? 17.
Página 179 - Two vessels contain mixtures of wine and water ; in one there is three times as much wine as water, in the other five times as much water as wine. Find how much must be drawn off from each to fill a third vessel which holds seven gallons, in order that its contents may be half wine and half water.
Página 280 - The pressure of wind on a plane surface varies jointly as the area of the surface, and the square of the wind's velocity. The pressure on a square foot is 1...
Página 213 - Art. 167 we saw that if the number of unknown quantities is greater than the number of independent equations, there will be an unlimited number of solutions, and the equations will be indeterminate. By introducing conditions, however, we can limit the number of solutions. When positive integral values of the unknown quantities are required, the equations are called simple indeterminate equations. The introduction of this restriction enables us to express the solutions in a very simple form. Ex. 1....