## Bradbury's Elementary Algebra |

### From inside the book

Results 1-5 of 21

Page 16

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**radical sign**, , or by a fractional exponent . When the**radical sign**,, is used , the index of the root is written at the top of the sign , though the index denoting the second or square root is generally omitted ; thus , x , or x ... Page 49

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**square root**of each of the other two connected by the**sign**of the term omitted . 3. Find the factors of x2 - 2xy + y2 . Ans . ( xy ) ( x − y ) . 4. Find the factors of 4 a2 c2 + 12 a c d + 9 d2 . Ans . ( 2 ac3 d ) ( 2 ac + 3 d ) . 5 ... Page 137

... square root of a quantity is a quantity which taken twice as a factor will produce the given quantity ; the third or cube root is a quantity which taken three times as a factor will produce the ...

... square root of a quantity is a quantity which taken twice as a factor will produce the given quantity ; the third or cube root is a quantity which taken three times as a factor will produce the ...

**radical sign**✓ , EVOLUTION . 137. Page 138

William Frothingham Bradbury. A Roor is indicated by the

William Frothingham Bradbury. A Roor is indicated by the

**radical sign**✓ , or by a fractional exponent . Thus , रु ই indicates the square root of x . ✓x , or x , or x3 " " " 6 cube " " 66 66 1 * x , or xm 66 mth 66 66 66 134. A root ... Page 147

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**signs**is given in Art . 136 . As an even root of a positive quantity may be either positive or negative , we prefix to such a root the**sign**± ; read , plus or minus . NOTE 2. It follows from this rule that the root of the product of ...### Other editions - View all

Bradbury's Elementary Algebra William Frothingham Bradbury,James Howard Eaton No preview available - 2016 |

Bradbury's Elementary Algebra: Designed for the Use of High Schools and ... William Frothingham Bradbury No preview available - 2015 |

Bradbury's Elementary Algebra: Designed for the Use of High Schools and ... William Frothingham Bradbury No preview available - 2019 |

### Common terms and phrases

a²x² Algebra arithmetical mean arithmetical progression binomial binomial theorem cents coefficient cologarithm common difference completing the square cube root Divide dividend division equal Expand extracting the square figures Find the cube Find the factors Find the fourth Find the greatest Find the least Find the square Find the sum Find the value Find two numbers geometrical progression greatest common divisor Hence horse improper fraction integral quantity least common multiple less logarithm lowest terms minus monomial Multiply NOTE number of terms obtain OPERATION polynomial proportion quadratic equation quan quotient radical sign ratio Reduce x² reduced gives remainder RULE second term simplest form Solve the equation square root Substituting this value subtracted Theorem third tities Transposing trial divisor twice unknown quantity x² y² yards

### Popular passages

Page 78 - Now .} of f- is a compound fraction, whose value is found by multiplying the numerators together for a new numerator, and the denominators for a new denominator.

Page 40 - 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 100 - D. The distance from A to D is 34 miles ; the distance from A to B is to the distance from C to D as 2 to 3 ; and £ of the distance from A to B, added to one half the distance from C to D, is three times the distance from .B to C.

Page 44 - ... the square of the second. In the second case, we have (a — &)2 = a2 — 2 ab + b2. (2) That is, the square of the difference of two quantities is equal to the square of the first, minus twice the product of the two, plus the square of the second.

Page 43 - I. 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.

Page 87 - PROPORTION when the ratio of the first to the second is equal to the ratio of the second to the third.

Page 83 - TRANSPOSITION is the changing of terms from one member of an equation to the other, without destroying the equality. The object of transposition is to bring all the unknown terms into one member and all the known into the other, BO that the unknown may become known.

Page 212 - Hence -,- = -76" dn that is a" : b" = c" : dn THEOREM IX. 23 1 If any number of quantities are proportional, any antecedent is to its consequent as the sum of all the antecedents is to the sum of all the consequents. Let a : b = c : d...

Page 209 - Conversely, if the product of two quantities is equal to the product of two other quantities, the first two may be made the extremes, and the other two the means of a proportion.

Page 251 - B had during the whole time; and at the same rate as before B would reach Springfield in 5f days. How far from Boston did they meet? Ans. 42 miles. 163. The product of two numbers is 90 ; and the difference of their cubes is to the cube of their difference as 13 : 3. What are the numbers ? 164. A and B start together from the same place and travel in the same direction. A travels the first day 25 kilometers, the second 22, and so on, travelling each day 3 kilometers less than on the preceding day,...