Advanced Algebra for Colleges and SchoolsAmerican Book Company, 1902 - 608 páginas |
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Página 5
... RADICALS · REVIEW QUADRATIC EQUATIONS GENERAL REVIEW RATIO AND PROPORTION VARIATION 45 71 87 27235 PAGE 7 12 21 90 108 115 126 133 . 160 163 186 214 221 239 250 274 278 316 325 338 PAGE PROGRESSIONS 344 IMAGINARY AND COMPLEX NUMBERS 363 ...
... RADICALS · REVIEW QUADRATIC EQUATIONS GENERAL REVIEW RATIO AND PROPORTION VARIATION 45 71 87 27235 PAGE 7 12 21 90 108 115 126 133 . 160 163 186 214 221 239 250 274 278 316 325 338 PAGE PROGRESSIONS 344 IMAGINARY AND COMPLEX NUMBERS 363 ...
Página 16
... Radical Sign . A figure or letter written in the opening of the radical sign indicates what root of the number is sought . It is called the Index of the root . When no index is written , the second , or square root is meant . V8 ...
... Radical Sign . A figure or letter written in the opening of the radical sign indicates what root of the number is sought . It is called the Index of the root . When no index is written , the second , or square root is meant . V8 ...
Página 244
... radical signs : 26. a3 . 27. x 28. x . 29. a 32. a1 ÷ x1 . 30. xy . 33. m1 ÷ n1 . 31. a 34. x3 ÷ y3 . 247. It now remains to complete the proof that the other laws of exponents are of general application for commensurable ex- ponents by ...
... radical signs : 26. a3 . 27. x 28. x . 29. a 32. a1 ÷ x1 . 30. xy . 33. m1 ÷ n1 . 31. a 34. x3 ÷ y3 . 247. It now remains to complete the proof that the other laws of exponents are of general application for commensurable ex- ponents by ...
Página 249
... -3x - 1 - 2x - 2 . 96. x6 . 97. x 16 . = 98. 25x = 1 . 99. x243 . 100. x3 + 32 = 0 . 101. x + a® = 0 . 102. x 64 = 0 . 95. 2 x * = 32 . x 103. + 27 = 0 . RADICALS 253. 1. What is indicated by Va ? by THEORY OF EXPONENTS 249.
... -3x - 1 - 2x - 2 . 96. x6 . 97. x 16 . = 98. 25x = 1 . 99. x243 . 100. x3 + 32 = 0 . 101. x + a® = 0 . 102. x 64 = 0 . 95. 2 x * = 32 . x 103. + 27 = 0 . RADICALS 253. 1. What is indicated by Va ? by THEORY OF EXPONENTS 249.
Página 250
... Radical . The root may be indicated by a radical sign or by a fractional exponent . √5a , ( 5a ) 1 , Vax , ( ax3 ) } , √a2 + 2ab + b2 , and ( a2 + 2 ab + b2 ) & radicals . are In the discussion and treatment of radicals only principal ...
... Radical . The root may be indicated by a radical sign or by a fractional exponent . √5a , ( 5a ) 1 , Vax , ( ax3 ) } , √a2 + 2ab + b2 , and ( a2 + 2 ab + b2 ) & radicals . are In the discussion and treatment of radicals only principal ...
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Términos y frases comunes
a²b² a²x² ab² absolutely convergent algebraic sum arithmetical means arithmetical progression ax² binomial called cents coefficients column Commutative Law complex numbers continued fraction convergent convergent series cube root denominator difference digits divided dividend divisible established as follows EXAMPLES exponent expression factor Find the sum Find the value finite formula function geometrical mean geometrical progression geometrical series given equation Hence highest common divisor imaginary numbers inequality integer last term limit logarithm multiplied negative number nth root number of terms numerically less obtained polynomial positive integer positive number positive root PRINCIPLE quadratic quotient ratio real number reduced remainder represent result second term SOLUTION square root Substituting subtracted surd third Transposing twice units unknown number variable x²y x²y²
Pasajes populares
Página 212 - ... and if the number is divided by the sum of its digits, the quotient is 21 and the remainder 4.
Página 134 - Multiplying or dividing both terms of a fraction by the same number does not change the value of the fraction.
Página 343 - ... that the volume of a sphere varies as the cube of its radius. 20. Find the radius of a sphere whose volume is equal to the sum of the volumes of three spheres whose radii are r, /, and r".
Página 41 - A term may be transposed from one member of an equation to the other, provided its sign is changed.
Página 435 - The number of permutations of n different things taken r at a time is denoted by „Pr.
Página 424 - The logarithm of a quotient is found by subtracting the logarithm of the divisor from that of the dividend.
Página 40 - The process of changing a term from one member of an equation to the other is called Transposition.
Página 331 - PRINCIPLE 7. — If four numbers are in proportion, the. difference between the terms of the first ratio is to either term of the first ratio as the difference between the terms of the second ratio is to the corresponding term of the second ratio ; that is, the numbers are in proportion by Division.
Página 323 - A farmer has two cubical granaries. The side of one is 3 yards longer than the side of the other, and the difference in their solid contents is 117 cubic yards.
Página 426 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.