School AlgebraB. F. Johnson, 1903 - 432 páginas |
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Página 159
... satisfies the equation , just as the equation x + 2 = 0 is satisfied What is meant by an equation being satisfied ? What ... satisfy the original equation . - In solving x2 + x60 , we write it as x + 3 = 0 and x 2 = 0 , and solve each of ...
... satisfies the equation , just as the equation x + 2 = 0 is satisfied What is meant by an equation being satisfied ? What ... satisfy the original equation . - In solving x2 + x60 , we write it as x + 3 = 0 and x 2 = 0 , and solve each of ...
Página 161
... satisfy the original equation . The root x = 2 , which is the only root that could be intro- duced by the multiplier x 2 , does not appear . - 2. Again , by the axiom referred to above , we should be permitted to multiply the two ...
... satisfy the original equation . The root x = 2 , which is the only root that could be intro- duced by the multiplier x 2 , does not appear . - 2. Again , by the axiom referred to above , we should be permitted to multiply the two ...
Página 166
... satisfy the original equation . It was introduced by - - 1 of the L. C. D. contained in multiplying by the unnecessary factor x the numerator x2 - 2x + 1. Fractions should first be reduced to lowest denominators before clearing . It is ...
... satisfy the original equation . It was introduced by - - 1 of the L. C. D. contained in multiplying by the unnecessary factor x the numerator x2 - 2x + 1. Fractions should first be reduced to lowest denominators before clearing . It is ...
Página 170
... satisfy ( 1 ) . Hence C must be independent of the unknown number . ( c ) The present discussion is limited to finite values , but it will appear hereafter that the multiplier must not become infinitely great , that is , C must not ...
... satisfy ( 1 ) . Hence C must be independent of the unknown number . ( c ) The present discussion is limited to finite values , but it will appear hereafter that the multiplier must not become infinitely great , that is , C must not ...
Página 185
... satisfy the equation , but if the equation has arisen in connection with any particular problem , some of the results , or all of them , may be excluded by the restrictions imposed . For this reason it is important before proceeding ...
... satisfy the equation , but if the equation has arisen in connection with any particular problem , some of the results , or all of them , may be excluded by the restrictions imposed . For this reason it is important before proceeding ...
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Términos y frases comunes
a²b a²b² ab+b² ab² absolute value added arithmetical means arithmetical progression ax² bers binomial called cents CHECK coefficient Completing the square cube root difference digits Divide dividend division divisor equations containing equivalent Find the number Find the sum Find the value fractional exponents geometrical graphs Hence highest common factor identity integral logarithm mantissa means method miles an hour minuend monomial multiplied negative numbers nth root number of dollars number of terms numerator and denominator polynomial positive integer positive number problem quadratic equations quotient rational Reduce remainder result rods Simplify solution Solve the equation Solve the following Solve the system square root Substituting subtracted subtrahend surd symbols Theorem twice unknown numbers x²y x²y² xy² zero
Pasajes populares
Página 85 - Divide the first term of the dividend by the first term of the divisor, and write the result as the first term of the quotient. Multiply the whole divisor by the first term of the quotient, and subtract the product from the dividend.
Página 74 - 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 412 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Página 205 - What fraction is that, whose numerator being doubled, and the denominator increased by 7, the value becomes f ; but the denominator being doubled, and the numerator increased by 2, the value becomes -jj-?
Página 357 - In a series of equal ratios, the sum of the antecedents is to the sum of the consequents as any antecedent is to its consequent.
Página 355 - If the product of two quantities is equal to the product of two other quantities, two of them may be made the extremes, and the other two the means of a proportion.
Página 74 - The product of the sum and difference of two numbers is equal to the difference of their squares.
Página 68 - Multiply each term of the multiplicand by each term of the multiplier, and add the partial products.
Página 241 - ... plus three times the product of the square of the tens by the units, plus three times the product of the tens by the square of the units, plus the cube of the units. This being the case, the cube of the tens...
Página 35 - Guido, with a burnt stick in his hand, demonstrating on the smooth paving-stones of the path, that the square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other two sides.