Elements of Algebra: On the Basis of M. Bourdon, Embracing Sturm's and Horner's Theorems : and Practical ExamplesA. S. Barnes & Burr, 1860 - 400 páginas |
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Página 6
... EQUATIONS OF THE FIRST DEGREE . Definition of an Equation - Different Kinds - Properties of Equations 72-77 Solution of Equations ... Transformation of Equations - First and Second .. Resolution of Equations of the First Degree - Rule ...
... EQUATIONS OF THE FIRST DEGREE . Definition of an Equation - Different Kinds - Properties of Equations 72-77 Solution of Equations ... Transformation of Equations - First and Second .. Resolution of Equations of the First Degree - Rule ...
Página 73
... equation is often 0 . 73. An equation may contain one unknown quantity only , or it may contain more than one . Equations are also classified according to their degrees . The degrees are indicated by the exponents of the unknown ...
... equation is often 0 . 73. An equation may contain one unknown quantity only , or it may contain more than one . Equations are also classified according to their degrees . The degrees are indicated by the exponents of the unknown ...
Página 74
... equations . cx + dx2c + f , = 75. An identical equation is an equation in which one member is repeated in the other , or in which one member is the result of certain operations indicated in the other . In either case , the equation is ...
... equations . cx + dx2c + f , = 75. An identical equation is an equation in which one member is repeated in the other , or in which one member is the result of certain operations indicated in the other . In either case , the equation is ...
Página 75
... equation is the operation of finding a value for the unknown quantity such , that when substituted for the unknown quantity in the equation , it will satisfy it ; that is , make the two members equal . This value is called a root of the ...
... equation is the operation of finding a value for the unknown quantity such , that when substituted for the unknown quantity in the equation , it will satisfy it ; that is , make the two members equal . This value is called a root of the ...
Página 76
... equation by 12 , reducing at the same time to entire te : ms , we obtain 8x ― 9x + 2x = 132 , the same equation as before found . Hence , to transform an equation involving fractional terms to one involving only entire terms , we have ...
... equation by 12 , reducing at the same time to entire te : ms , we obtain 8x ― 9x + 2x = 132 , the same equation as before found . Hence , to transform an equation involving fractional terms to one involving only entire terms , we have ...
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Términos y frases comunes
algebraic expression algebraic quantities approximating fraction arithmetical arithmetical progression becomes called co-efficient contrary signs cube root decimal places deduce denote the number derived polynomial Divide dividend entire number example exponent extract the square figures Find the factors Find the square find the values following RULE formula fourth fractional unit given equation given number gives greatest common divisor hence indicated inequality irreducible fraction last term leading letter least common multiple logarithm mixed quantity monomial multiplicand and multiplier negative roots nth power nth root number of terms obtain operation perfect square positive roots preceding problem proposed equation quotient radical sign real roots remainder required root required to find result second degree second member second term simplest form square root substituted subtract suppose supposition take the equation taken third unknown quantity whence whole number write
Pasajes populares
Página 174 - Find the value of one of the unknown quantities, in terms of the other and known quantities...
Página 290 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Página 286 - The logarithm of a number is the exponent of the power to which it is necessary to raise a fixed number, in order to produce the first number.
Página 117 - The first ten numbers are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 Roots.
Página 136 - Resolve the quantity under the radical sign into two factors, one of which is the greatest perfect power of the same degree as the radical.
Página 200 - RULE I. Separate the given number into periods. of three figures each, beginning at the right hand ; the left hand period will often con tain less than three places of figures.
Página 100 - If A and B together can perform a piece of work in 8 days, A and c together in 9 days, and B and c in 10 days, how many days will it take each person to perform the same work alone.
Página 62 - Subtract the numerator of the subtrahend from the numerator of the minuend, and place the difference over the common denominator. EXAMPLES FOR PRACTICE.
Página 154 - B, departed from different places at the same time, and travelled towards each other. On meeting, it appeared that A had travelled 18 miles more than B ; and that A could have gone B's journey in 15| days, but B would have been 28 days in performing A's journey. How far did each travel ? Ans.
Página 222 - Consequently, teueя the index of the radical is divisible by the exponent of the power to which it is to be raised, perform the division, leaving the quantity under the radical sign unchanged.