Elementary Algebra1905 - Algebra - 395 pages |
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a²+ab+b² a²b a²b² a²x a³b ab+b² ab² ab³ algebraic sum arithmetical arithmetical means ax² binomial called coefficient commutative law contains coördinates decimal denominator dividing division divisor equa equal EXERCISE exponent Extract the square factors Find the H. C. F. Find the number Find the sum Find the value following equations following expressions fraction geometrical progression given equations graph Hence indicated inequality integral less letters logarithm m²n mantissa monomial multiplying negative number nth root number exceeds number of permutations number of terms polynomial proportion quadratic equation quotient radical ratio remainder simple equation solutions Solve the equation Solve the following square root substituting subtracted surds transposing and uniting type form unknown quantity VERIFICATION x²y x²y² xy² zero
Popular passages
Page 333 - 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.
Page 131 - The product of two or more fractions is a fraction whose numerator is the product of the numerators of the given fractions and whose denominator is the product of the denominators of the given fractions.
Page 383 - If the number is less than 1, make the characteristic of the logarithm negative, and one unit more than the number of zeros between the decimal point and the first significant figure of the given number.
Page 43 - 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.
Page 382 - We therefore have : (ii.) The characteristic of the logarithm of a number less than 1 is negative, and is numerically one greater than the number of ciphers immediately following the decimal point.
Page 343 - Now all know that the intensity of illumination varies inversely as the square of the distance.
Page 40 - To divide a polynomial by a monomial, divide each term of the polynomial by the monomial: (8aft — 12ac) -*- 4a = 2ft — 3c.
Page 328 - The first and fourth terms of a proportion are called the extremes, and the second and third the means.
Page 342 - The volume of a sphere varies as the cube of the radius, and the surface area of a, sphere as the square of the radius.
Page 275 - Complete the square by adding to both members the square of half the coefficient of x. Extract the square root of both members, and solve the sim259.