Secondary AlgebraFisher and Schwatt, 1900 - 397 páginas |
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Página 251
... Quadratic Surds . 35. The symbol of equality cancelled , # , is read is not equal to ; as 24 . 36. A quadratic surd cannot be equal to the sum of a rational number and another quadratic surd ; or √a + b + √c , wherein a and c are ...
... Quadratic Surds . 35. The symbol of equality cancelled , # , is read is not equal to ; as 24 . 36. A quadratic surd cannot be equal to the sum of a rational number and another quadratic surd ; or √a + b + √c , wherein a and c are ...
Página 276
... - 6-6x - 5 + 12x - 4-8 x - 3 . 13. 8x - 36x - 27 x3 + 54 x ‡ . 14. x ‡ − 3 x ‡ + 3 x * + 2 x + 3 xa − 3 xễ − 6 x12 + 3 x11 + x§ . - CHAPTER XVIII . QUADRATIC EQUATIONS . 1. A Quadratic Equation 276 [ CH . XVII ALGEBRA .
... - 6-6x - 5 + 12x - 4-8 x - 3 . 13. 8x - 36x - 27 x3 + 54 x ‡ . 14. x ‡ − 3 x ‡ + 3 x * + 2 x + 3 xa − 3 xễ − 6 x12 + 3 x11 + x§ . - CHAPTER XVIII . QUADRATIC EQUATIONS . 1. A Quadratic Equation 276 [ CH . XVII ALGEBRA .
Página 277
George Egbert Fisher. CHAPTER XVIII . QUADRATIC EQUATIONS . 1. A Quadratic Equation is an equation of the second degree in the unknown number or numbers . E.g. , x2 = 25 , x2 5x + 6 = = 0 , x2 + 2xy = 7 . A Complete Quadratic Equation ...
George Egbert Fisher. CHAPTER XVIII . QUADRATIC EQUATIONS . 1. A Quadratic Equation is an equation of the second degree in the unknown number or numbers . E.g. , x2 = 25 , x2 5x + 6 = = 0 , x2 + 2xy = 7 . A Complete Quadratic Equation ...
Página 278
... equations which lead to linear equations apply also to frac- tional equations which lead to quadratic equations . or , Ex . 3. Solve the equation Clearing of fractions , a + x x - a + = = 0 . b + x X - b ( a + x ) ( x − b ) + ( x − a ) ...
... equations which lead to linear equations apply also to frac- tional equations which lead to quadratic equations . or , Ex . 3. Solve the equation Clearing of fractions , a + x x - a + = = 0 . b + x X - b ( a + x ) ( x − b ) + ( x − a ) ...
Página 280
... quadratic expression . The roots of the given quadratic equation are the roots of the equa- tions obtained by equating to 0 each of its factors . Ex . 1. Solve the equation 3x2 + 5 x − 2 = 0 . Dividing by 3 , - - x2 + 1⁄2 x − 3 = 0 ...
... quadratic expression . The roots of the given quadratic equation are the roots of the equa- tions obtained by equating to 0 each of its factors . Ex . 1. Solve the equation 3x2 + 5 x − 2 = 0 . Dividing by 3 , - - x2 + 1⁄2 x − 3 = 0 ...
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a₁ a²b a²b² ab² ab³ algebraic arithmetical means arithmetical progression ax² binomial cistern coefficient colog complex numbers courier cube root decimal point definition denominator difference digits divided division divisor dollars equivalent examples illustrate EXERCISES expansion exponent feet Find the value following expressions following method gallons geometrical means geometrical progression given equation harmonical mean illustrate the following infinite series integer less Let x stand logarithm mantissa of log monomial multinomial Multiplying negative number number of terms obtained parentheses partial fractions pipe positive integer positive number prime factor principle problem proportion quadratic equation quotient ratio remainder required number resulting number S₁ second term Simplify solution Solve the equation square root Substituting subtracted surd unknown number whence x²y x²y² xy²
Pasajes populares
Página 74 - Divide the first term of the dividend by the first term of the divisor, the result will be the first term of the quotient.
Página 216 - ... term by the exponent of a in that term, and dividing the product by a number greater by 1 than the exponent of b in that term.
Página 313 - IF the first be the same multiple of the second, or the same part of it, that the third is of the fourth ; the first is to the second, as the third is to the fourth...
Página 149 - The factor 5 is common to the numerator of the first fraction and the denominator of the second.
Página 324 - Progression (AP), is a series in which each term, after the first, is formed by adding a constant number to the preceding term. See § 1, Art.
Página 227 - Divide the first term of the remainder by three times the square of the first term of the root, and write the result as the next term of the root.
Página 62 - In the multiplication of whole numbers, place the multiplier under the multiplicand, and multiply each term of the multiplicand by each term of the multiplier, writing the right-hand figure of each product obtained under the term of the multiplier which produces it.
Página 179 - If necessary, multiply the given equations by such numbers as will make the coefficients of one of the unknown numbers in the resulting equations of equal absolute value.
Página 376 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Página 317 - In a series of equal ratios, any antecedent is to its consequent, as the sum of all the antecedents is to the sum of all the consequents. Let a: 6 = c: d = e :/. Then, by Art.