New Elementary Algebra: Embracing the First Principles of the Science |
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algebraic quantities ANALYSIS.-Let x denote antecedent arithmetical arithmetical means binomial called cents Charles coefficient common difference complete equation completing the square contain contrary signs cost cube Davies denote the number Divide dividend division dollars equal number equal to 12 equation whose roots EXAMPLES exponent extracting the square Find the square Find the sum following RULE Geometry Give the rule given number greater greatest common divisor hence indicated John last term least common multiple lemons Let x denote logarithm minuend minus monomial Multiply negative number added number of apples number of terms operation ounces perfect square polynomial progression proportion quan quotient radical ratio Reduce remainder second degree second member second term simultaneous equations square root Substituting this value subtract tities transposing trinomial twice unknown quantity VERIFICATION Worman's write yards
Popular passages
Page 71 - 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 295 - The logarithm of a number is the exponent of the power to which it is necessary to raise a fixed number, in order to produce the first number.
Page 257 - To divide 100 into two such parts, that the sum of their square roots may be 14. Ans. 64 and 36.
Page 275 - If the product of two quantities is equal to the product of two other quantities, two of them may be made the extremes, and the other two the means of a proportion.
Page 275 - D r\ we have -—=—, (Art- 145); and by clearing the equation of fractions, we have BC=AD, That is, Of four proportional quantities, the product of the two extremes is equal to the product of the two means.
Page 118 - A fish was caught whose tail weighed 9Z6. ; his head weighed as much as his tail and half his body, and his body weighed as much as his head and tail together : what was the weight of the fish?
Page 72 - ... the first term of the quotient ; multiply the• divisor by this term, and subtract the product from the dividend.
Page 173 - The Square Root of a number is one of its two equal factors. Thus, the square root of 25 is 5, since 5x5 are 25.