Elements of Algebra |
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Popular passages
Page 58 - Any term may be transposed from one side of an equation to the other provided its sign be changed.
Page 196 - It will be seen that this third term is the square of the quotient obtained from dividing the second term by twice the square root of the first term. 282. Every affected quadratic may be made to assume the form of aV ± 2 abx = c. To solve such an equation : The first step is to complete the square...
Page 47 - 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.
Page 154 - Find the value of one of the unknown quantities, in terms of the other and known quantities...
Page 263 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Page 168 - There is a number consisting of two digits, the second of which is greater than the first, and if the number be divided by the sum of its digits, the quotient is 4...
Page 26 - The number thus added to itself, or the number to be multiplied, is called the multiplicand. The number which shows how many times the multiplicand is to be taken, or the number by which we multiply, is called the multiplier.
Page 139 - A and B together can do a piece of work in 12 days, which B and C together can do in 16 days. After 'A' has been working at it for 5 days and B for 7 days, C finishes it in 13 days.
Page 4 - Find two numbers such that when the greater is divided by the less the quotient is 4 and the remainder 3, and when the sum of the two numbers is increased by 38 and the •result divided by the greater of the two numbers the quotient is 2 and the remainder 2.
Page 296 - Find the thickness of the metal, it being known that the volume of a sphere varies as the cube of its diameter.