An Algebra for High Schools and AcademiesButler, Sheldon, 1902 - 445 σελίδες |
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Αποτελέσματα 1 - 5 από τα 26.
Σελίδα 41
... becomes of the sign before the symbols of aggregation ? For what does it stand ? 86. COR . 2. Any number of terms of a polynomial may be inclosed within a symbol of aggregation preceded by the sign by changing the signs of all the terms ...
... becomes of the sign before the symbols of aggregation ? For what does it stand ? 86. COR . 2. Any number of terms of a polynomial may be inclosed within a symbol of aggregation preceded by the sign by changing the signs of all the terms ...
Σελίδα 72
... becomes but 4-5 1 + 1 when it is assumed that x = 1 , 8-5 = 2 + 1 when it is assumed that x = 2 . Hence the root of the equation is 2 . 156. PROBLEM 1. To clear an equation of fractions . 72 LINEAR EQUATIONS , ONE UNKNOWN QUANTITY ...
... becomes but 4-5 1 + 1 when it is assumed that x = 1 , 8-5 = 2 + 1 when it is assumed that x = 2 . Hence the root of the equation is 2 . 156. PROBLEM 1. To clear an equation of fractions . 72 LINEAR EQUATIONS , ONE UNKNOWN QUANTITY ...
Σελίδα 73
... becomes 24. Multiplying the third fraction by 12 The fourth and fifth fractions become - 18 x - gives 8 ( x + 3 ) or 8x + 24 . - 18x9 and 2 respectively . 157. PROBLEM 2. To transpose a term . Rule . Add to both members of the equation ...
... becomes 24. Multiplying the third fraction by 12 The fourth and fifth fractions become - 18 x - gives 8 ( x + 3 ) or 8x + 24 . - 18x9 and 2 respectively . 157. PROBLEM 2. To transpose a term . Rule . Add to both members of the equation ...
Σελίδα 74
... becomes - 4x = 67 by collecting terms . By what Axiom ? 159. Dividing by the Coefficient of the unknown quantity is the process of dividing both members of the equation by the coefficient . ILLUSTRATION . - 4 x 67 becomes x = ―― 57 by ...
... becomes - 4x = 67 by collecting terms . By what Axiom ? 159. Dividing by the Coefficient of the unknown quantity is the process of dividing both members of the equation by the coefficient . ILLUSTRATION . - 4 x 67 becomes x = ―― 57 by ...
Σελίδα 100
... becomes smaller and smaller , and in the limit , when x becomes practi- cally equal to a , is zero . .. putting a in place of x , Aan + Ban - 1 + ... + L = ( a − a ) Q + R R. = Why should not the divisor x a be considered zero ? note ...
... becomes smaller and smaller , and in the limit , when x becomes practi- cally equal to a , is zero . .. putting a in place of x , Aan + Ban - 1 + ... + L = ( a − a ) Q + R R. = Why should not the divisor x a be considered zero ? note ...
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Άλλες εκδόσεις - Προβολή όλων
An Algebra for High Schools and Academies (Classic Reprint) Louis Parker Jocelyn Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2017 |
An Algebra for High Schools and Academies (1902) Louis Parker Jocelyn Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2008 |
An Algebra for High Schools and Academies (1902) Louis Parker Jocelyn Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2008 |
Συχνά εμφανιζόμενοι όροι και φράσεις
a²b a²b² a²x² a³b ab₁ ab² addition and subtraction ax² b₁ binomial c₁ changed Check clearing of fractions coefficient common complex numbers cube root denominator divided dividend division divisor equal factors exact divisor EXAMPLES Solve expression Find the value Formula fractional exponent Hence ILLUSTRATION inequality integral inversion Let the student logarithm MENTAL EXERCISES mixed forms MODEL SOLUTION monomial multiplying both terms negative nth power nth root polynomial positive Prob PROBLEM Prop proportion proposition quadratic equation quotient radical sign ratio reduced remainder Rule SECT Solve and verify square root substituting surd symbols tion trinomial unknown quantities x²n x²y x²y² x³y xy² xy³ y¹n y²n zero
Δημοφιλή αποσπάσματα
Σελίδα 85 - That is, the square of the sum of two quantities is equal to the square of the first, plus twice the product of the first by the second, plus the square of the second.
Σελίδα 85 - The square of the difference of two quantities is equal to the square of the first, minus twice the product of the first by the second, plus the square of the second.
Σελίδα 149 - Multiplying or dividing both terms of a fraction by the same number does not change the value of the fraction.
Σελίδα 246 - In a number of two digits the units' digit exceeds the tens' digit by 4, and when the number is divided by the sum of its digits the quotient is 4.
Σελίδα 86 - The product of the sum and difference of two quantities is equal to the difference of their squares.
Σελίδα 374 - B's journey in 15$ days, but B would have been 28 days in performing A's journey. What was the distance between C and D ? Ans.
Σελίδα 372 - A farmer bought some sheep for £72, and found that if he had received 6 more for the same money, he would have paid £1 less for each. How many sheep did he buy ? 13. A and B distribute £60 each among a certain number of persons : A relieves 40 persons more than B does, and B gives to each 5*.
Σελίδα 382 - There are three numbers in geometrical progression, the sum of the first and second of which is 9, and the sum of the first and third is 15.
Σελίδα 384 - The logarithm of a quotient is equal to the logarithm of the dividend minus the logarithm of the divisor.
Σελίδα 161 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.