Elementary Algebra with a Table of LogarithmsP. Blakiston's Son & Company, Incorporated, 1920 - 383 σελίδες |
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Σελίδα ix
... QUADRATIC EQUATIONS Pure Quadratic Equation . Affected Quadratic Equation . Solution of Pure Quadratic . Solutions of Affected Quad- ratic . By Factoring . Three Methods of Completing the Square . Literal Quadratics . Solution by ...
... QUADRATIC EQUATIONS Pure Quadratic Equation . Affected Quadratic Equation . Solution of Pure Quadratic . Solutions of Affected Quad- ratic . By Factoring . Three Methods of Completing the Square . Literal Quadratics . Solution by ...
Σελίδα 197
... quadratic surd . V4 is a surd of the third order or a cubic surd . V is a surd of the fourth order or a biquadratic surd , and so on . An expression containing both rational and radical fac- tors is called a mixed surd , as 5√2 , xy ...
... quadratic surd . V4 is a surd of the third order or a cubic surd . V is a surd of the fourth order or a biquadratic surd , and so on . An expression containing both rational and radical fac- tors is called a mixed surd , as 5√2 , xy ...
Σελίδα 208
... QUADRATIC SURDS 127. A Quadratic Surd is a surd of the second order , or an indicated square root of an imperfect square . A Binomial Surd is a binomial , one or both of whose terms are surds . The foll wing Properties of Quadratic ...
... QUADRATIC SURDS 127. A Quadratic Surd is a surd of the second order , or an indicated square root of an imperfect square . A Binomial Surd is a binomial , one or both of whose terms are surds . The foll wing Properties of Quadratic ...
Σελίδα 209
... quadratic surd cannot equal the sum of a rational number and a surd . That is √x cannot equal √y + z . If √x = 2 + √y . z By squaring , x = z2 + 2z√y + y . - By transposing , 2z√y = x y 22 - which is impossible , as shown in the ...
... quadratic surd cannot equal the sum of a rational number and a surd . That is √x cannot equal √y + z . If √x = 2 + √y . z By squaring , x = z2 + 2z√y + y . - By transposing , 2z√y = x y 22 - which is impossible , as shown in the ...
Σελίδα 219
... . Find the value of 2 2 ( 1 + √ − 3 ) ( 1 + √ − 3 ) ( 1 + √ − 3 ) . 13. Find the value of 7+ 3-5 7-3√ - 5 + 7-3-57 + 3√ - 5 CHAPTER XVII QUADRATIC EQUATIONS 132. An equation , that contains IMAGINARY NUMBERS 219.
... . Find the value of 2 2 ( 1 + √ − 3 ) ( 1 + √ − 3 ) ( 1 + √ − 3 ) . 13. Find the value of 7+ 3-5 7-3√ - 5 + 7-3-57 + 3√ - 5 CHAPTER XVII QUADRATIC EQUATIONS 132. An equation , that contains IMAGINARY NUMBERS 219.
Συχνά εμφανιζόμενοι όροι και φράσεις
added arithmetical arithmetical mean axis binomial called changing the signs Clear of fractions coefficient cologarithm common factor Complete the square cube root decimal difference digits distance dividend division dominant letter equal numbers Extract the square figures Find the numbers Find the sum find the value formula geometrical mean graph harmonical mean Hence inches indicated last term letters logarithms mantissa method middle term miles per hour minus monomial Multiply negative number number is divided number of combinations number of dollars number of permutations number of terms numerator and denominator parenthesis partial products polynomial problem quadratic equation quantity quotient ratio remainder REVIEW EXERCISE second term side Similarly Simplify smaller number Solve square root Substitute this value Subtract surd Transposing trial divisor unknown numbers varies zero
Δημοφιλή αποσπάσματα
Σελίδα 89 - If the numerator and denominator of each fraction is multiplied (or divided) by the same number, the value of the fraction will not change.
Σελίδα 293 - If the product of two numbers is equal to the product of two other numbers, either pair may be made the means, and the other pair the extremes, of a proportion.
Σελίδα 67 - 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.
Σελίδα 60 - The square of the sum of two numbers is equal to the square of the first number plus twice the product of the first and second number plus the square of the second number.
Σελίδα 305 - У . 18 2. Given that the area of a triangle varies jointly as its base and altitude, what will be the base of a triangle whose altitude is 12, equivalent to the sum of two triangles whose bases are 10 and 6, and altitudes 3 and 9, respectively...
Σελίδα 50 - Multiply every term of the multiplicand by each term of the multiplier, and add the partial products.
Σελίδα 303 - The weight of an object above the surface of the earth varies inversely as the square of its distance from the center of the earth.
Σελίδα 300 - One quantity is said to vary directly as a second and inversely as a third, when it varies jointly as the second and the reciprocal of the third. Thus...
Σελίδα 339 - The number of permutations of n different things taken r at a time is denoted by „Pr.
Σελίδα 89 - To reduce a Fraction to its Lowest Terms. — A fraction is in its lowest terms when the numerator and denominator...