Advanced AlgebraMacmillan, 1906 - 562 páginas |
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Página xii
... Equations in the Quadratic Form Graphic Solution of Quadratic Equations CHAPTER XIX SIMULTANEOUS QUADRATIC EQUATIONS I. Equations solved by finding x + y and x One Equation Linear , the Other Quadratic Homogeneous Equations II . III ...
... Equations in the Quadratic Form Graphic Solution of Quadratic Equations CHAPTER XIX SIMULTANEOUS QUADRATIC EQUATIONS I. Equations solved by finding x + y and x One Equation Linear , the Other Quadratic Homogeneous Equations II . III ...
Página xiv
... Equations and Elimination 424 CHAPTER XXVIII THEORY OF EQUATIONS 431 Synthetic Division 431 Application of the ... SOLUTION OF HIGHER EQUATIONS Commensurable Roots Incommensurable Roots Graphic Solution of Cubic Equations . General ...
... Equations and Elimination 424 CHAPTER XXVIII THEORY OF EQUATIONS 431 Synthetic Division 431 Application of the ... SOLUTION OF HIGHER EQUATIONS Commensurable Roots Incommensurable Roots Graphic Solution of Cubic Equations . General ...
Página 1
... solution . 5. An equation is a statement expressing the equality of two quantities ; as , 7 x = 56 . ALGEBRAIC SOLUTION OF PROBLEMS 6. Problem . The sum of two numbers is 56 , and the greater is six times the smaller . Find the numbers ...
... solution . 5. An equation is a statement expressing the equality of two quantities ; as , 7 x = 56 . ALGEBRAIC SOLUTION OF PROBLEMS 6. Problem . The sum of two numbers is 56 , and the greater is six times the smaller . Find the numbers ...
Página 2
... equation . EXERCISE 1 Solve algebraically the following problems : 1. A man sold a horse and carriage for $ 450 , receiving twice as much for the horse as for the carriage . How much did he receive for the carriage ? 2. A , B , C , and ...
... equation . EXERCISE 1 Solve algebraically the following problems : 1. A man sold a horse and carriage for $ 450 , receiving twice as much for the horse as for the carriage . How much did he receive for the carriage ? 2. A , B , C , and ...
Página 65
... equation . 9 is a root of the equation 2x + 2 = 20 . 86. To solve an equation is to find its roots . 87. A numerical equation is one in which all the known quan- tities are expressed in arithmetical numbers ; as ( 7 − x ) ( x + 4 ) ...
... equation . 9 is a root of the equation 2x + 2 = 20 . 86. To solve an equation is to find its roots . 87. A numerical equation is one in which all the known quan- tities are expressed in arithmetical numbers ; as ( 7 − x ) ( x + 4 ) ...
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Términos y frases comunes
a+b)² a²b a²b² a³b ab² ab³ algebraic angle arithmetic arithmetic means ax² b₁ binomial coefficients complex numbers consecutive numbers contains cube denominator determinant difference digits Dividing division divisor exceeds EXERCISE exponents factors feet Find the H. C. F. Find the number Find the sum Find the value following equations following expressions function graph graphically Hence inches integral letters logarithm method miles per hour monomial multiplied negative number of dollars obtain polynomial positive quadratic equation quotient ratio real numbers reduced remainder represented Simplify simultaneous equations Solve the equation Solve the following square root Substituting subtract surd symbols third Transposing triangle unknown number unknown quantities Va² x²y x²y² x²y³ xy² yards zero
Pasajes populares
Página 168 - In any proportion the product of the means is equal to the product of the extremes.
Página 162 - The sum of the three angles of any triangle is equal to 180°.
Página 45 - The square of the sum of two numbers is equal to the square of the first, plus twice the product of the first and the second, plus the square of the second.
Página 374 - To release the paper, turn the handle /in a direction opposite to the motion of the hands of a watch.
Página 168 - If the product of two numbers is equal to the product of two other numbers, either pair may be made the means, and the other pair the extremes, of a proportion.
Página 386 - How many 6-digit numbers can be formed from the digits 1, 2, 3, 4, 5, 6, 7, 8, 9 if each number has 3 odd and 3 even digits and no two digits are alike?
Página 133 - A fraction may be reduced by division to an integral or mixed expression, if the degree of the numerator is equal to, or greater than, that of the denominator.
Página 102 - A trinomial belongs to this type, ie it is a perfect square, when two of its terms are perfect squares, and the remaining term is equal to twice the product of the square roots of these terms. The student should note that a term, in order to be a perfect square, must have a positive sign.
Página 515 - The logarithm of a product is equal to the sum of the logarithms of its factors.
Página 383 - ... are placed. Thus the combinations of the letters a, b, c, taken two at a time are ab, ас...