Elementary AlgebraMacmillan and Company, 1895 - 478 páginas |
Dentro del libro
Resultados 1-5 de 27
Página vii
... Removal and Insertions of Brackets 42 VIII . Simple Equations . 48 IX . Symbolical Expression 53 X. Problems Leading to Simple Equations 59 XI . Resolution into Factors 63 Trinomial Expressions 65 Difference of Two Squares 70 Sum or ...
... Removal and Insertions of Brackets 42 VIII . Simple Equations . 48 IX . Symbolical Expression 53 X. Problems Leading to Simple Equations 59 XI . Resolution into Factors 63 Trinomial Expressions 65 Difference of Two Squares 70 Sum or ...
Página 14
... removed without making any change in the expression . Conversely : Any part of an expression may be enclosed within brackets and the sign + prefixed , the sign of every term within the brackets remaining unaltered . Thus the expression ...
... removed without making any change in the expression . Conversely : Any part of an expression may be enclosed within brackets and the sign + prefixed , the sign of every term within the brackets remaining unaltered . Thus the expression ...
Página 15
... removed if the sign of every term within the brackets be changed . Conversely : Any part of an expression may be ... removing brackets , a + ( - b ) = a − b ; that is , the sum of a and b is written in the form a - b . Example 1. Find ...
... removed if the sign of every term within the brackets be changed . Conversely : Any part of an expression may be ... removing brackets , a + ( - b ) = a − b ; that is , the sum of a and b is written in the form a - b . Example 1. Find ...
Página 19
... removing brackets [ Art . 22. ] , 3a - ( - 8a ) = 3a + 8a = 11a , -3a - ( - 8a ) = - 3a + 8a = 5a . SUBTRACTION OF UNLIKE TERMS . 27. The method is shown in the following example . Example . Subtract 3a - 2b - c from 4a - 3b + 5c . The ...
... removing brackets [ Art . 22. ] , 3a - ( - 8a ) = 3a + 8a = 11a , -3a - ( - 8a ) = - 3a + 8a = 5a . SUBTRACTION OF UNLIKE TERMS . 27. The method is shown in the following example . Example . Subtract 3a - 2b - c from 4a - 3b + 5c . The ...
Página 34
... removing from the divisor and dividend the factors common to both , just as in Arithmetic . Therefore 27a59a3 - 3a2 . 35aaabbccc Example 3. 35a3b2c37ab2c2 = 7abbcc = 5a2c . 47. RULE . To divide one simple expression by another , divide ...
... removing from the divisor and dividend the factors common to both , just as in Arithmetic . Therefore 27a59a3 - 3a2 . 35aaabbccc Example 3. 35a3b2c37ab2c2 = 7abbcc = 5a2c . 47. RULE . To divide one simple expression by another , divide ...
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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....