Algebra for BeginnersMacmillan, 1895 - 188 σελίδες |
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Αποτελέσματα 1 - 5 από τα 13.
Σελίδα 52
... unknown quantity . The process of finding its value is called solving the equation , The value so found is called the root or the solution of the equation . 74. An equation which involves the unknown quantity in the first degree is ...
... unknown quantity . The process of finding its value is called solving the equation , The value so found is called the root or the solution of the equation . 74. An equation which involves the unknown quantity in the first degree is ...
Σελίδα 53
... unknown quantity occurs on both sides of the equation . We can , how- ever , transpose any term from one side to the other by simply changing its sign . This we proceed to show . Subtract x from both sides of the equation , and we get ...
... unknown quantity occurs on both sides of the equation . We can , how- ever , transpose any term from one side to the other by simply changing its sign . This we proceed to show . Subtract x from both sides of the equation , and we get ...
Σελίδα 54
... unknown quantity . Rule . First , if necessary , clear of fractions ; then transpose all the terms containing the unknown quantity to one side of the equation , and the known quantities to the other . Collect the terms on each side ...
... unknown quantity . Rule . First , if necessary , clear of fractions ; then transpose all the terms containing the unknown quantity to one side of the equation , and the known quantities to the other . Collect the terms on each side ...
Σελίδα 64
... unknown quantity by a symbol , as x , and express in symbolical language the conditions of the question ; we thus obtain a simple equation which can be solved by the methods already given in Chapter IX . Example I. Find two numbers ...
... unknown quantity by a symbol , as x , and express in symbolical language the conditions of the question ; we thus obtain a simple equation which can be solved by the methods already given in Chapter IX . Example I. Find two numbers ...
Σελίδα 77
... unknown quantities . By transposition we get that is , 5y = 23-2x ; y = 23-2x 5 .. ( 1 ) . From this it appears that for every value we choose to give to x there will be one corresponding value of y . Thus we shall be able to find as ...
... unknown quantities . By transposition we get that is , 5y = 23-2x ; y = 23-2x 5 .. ( 1 ) . From this it appears that for every value we choose to give to x there will be one corresponding value of y . Thus we shall be able to find as ...
Συχνά εμφανιζόμενοι όροι και φράσεις
a²+b² acres algebraical sum Arithmetic arranged beginner cents CHAPTER coefficient Completing the square compound expressions convenient cube root descending powers difference digits dimes Divide division divisor Elementary Algebra equal examples see Elementary EXAMPLES XVII exceeds Find the highest Find the lowest find the number Find the product Find the square Find the sum find the value following expressions given expressions half-dollars Hence highest common factor lowest common denominator lowest common multiple lowest terms miles an hour miles per hour minute-hand Multiply negative numerator and denominator obtain quadratic equation quotient Reduce to lowest remainder removing brackets Resolve into factors result rule of signs side simple equation simultaneous equations Solve the equations square root Subtract Transposing trinomial unknown quantities walk whence write yards α α
Δημοφιλή αποσπάσματα
Σελίδα 91 - The product is a2+2a6-}-62; from which it appears, that 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 107 - Conversely, the difference of the squares of any two quantities is equal to the product of the sum and the difference of the two quantities.
Σελίδα 89 - It is evident from the Rule of Signs that (1) no even power of any quantity can be negative; (2) any odd power of a quantity will have the same sign as the quantity itself. NOTE. It is especially worthy of notice that the square of every expression, whether positive or negative, is positive.
Σελίδα 54 - Transpose all the terms containing the unknown quantity to one side of the equation, and the "known quantities to the other.