Academic AlgebraAmerican Book Company, 1901 - 444 páginas |
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Página 19
... direction , arriving at 1 on the opposite , or subtractive side of 0. It now becomes necessary to extend the scale 1 unit in the subtractive direction from 0 . To subtract 5 from 3 we begin at 3 and DEFINITIONS AND NOTATION 19.
... direction , arriving at 1 on the opposite , or subtractive side of 0. It now becomes necessary to extend the scale 1 unit in the subtractive direction from 0 . To subtract 5 from 3 we begin at 3 and DEFINITIONS AND NOTATION 19.
Página 41
... becomes - 3x and - 2 transposed to the second member becomes +2 . Therefore , the resulting equation is 5x - 3x 2 + 6 . Uniting terms , 2 x = 8. Dividing both members by 2 , the result is x = 4 . The result is verified by substituting ...
... becomes - 3x and - 2 transposed to the second member becomes +2 . Therefore , the resulting equation is 5x - 3x 2 + 6 . Uniting terms , 2 x = 8. Dividing both members by 2 , the result is x = 4 . The result is verified by substituting ...
Página 66
... becomes ( a + b ) ( a − b ) = a2 — b2 . a2 = ( a + b ) ( a − b ) + b2 . -- a = 95 and b = 5 . 952 ( 95+ 5 ) ( 95 − 5 ) + 52 = = 100 × 90 + 25 = 9025 . 64. What is the square of 48 ? Let SOLUTION α = 48 and b = 2 . Equation ( 2 ) ...
... becomes ( a + b ) ( a − b ) = a2 — b2 . a2 = ( a + b ) ( a − b ) + b2 . -- a = 95 and b = 5 . 952 ( 95+ 5 ) ( 95 − 5 ) + 52 = = 100 × 90 + 25 = 9025 . 64. What is the square of 48 ? Let SOLUTION α = 48 and b = 2 . Equation ( 2 ) ...
Página 104
... becomes - whence , 0 = 0 + R ; R = 0 . That is , the remainder is zero , and the division is exact . NOTE . a is the known number substituted for x , and it may be either positive or negative . EXAMPLES 1. Factor 23 8 x2 + 17 x - - 10 ...
... becomes - whence , 0 = 0 + R ; R = 0 . That is , the remainder is zero , and the division is exact . NOTE . a is the known number substituted for x , and it may be either positive or negative . EXAMPLES 1. Factor 23 8 x2 + 17 x - - 10 ...
Página 113
... become the square of the binomial ( x + 2 ) . Solving for ( x + 2 ) as for x in previous examples , x + 2 = ± 7 ; whence x = 72 = 5 or - 9 . SUGGESTION . ― In the following examples , when the coefficient of the first power of the ...
... become the square of the binomial ( x + 2 ) . Solving for ( x + 2 ) as for x in previous examples , x + 2 = ± 7 ; whence x = 72 = 5 or - 9 . SUGGESTION . ― In the following examples , when the coefficient of the first power of the ...
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Términos y frases comunes
a²b a²b² a²x² a³b ab² algebraic numbers algebraic sum arithmetical means arithmetical progression ax² binomial cents coefficient Commutative Law complete divisor contain cube root denominator difference digits divided dividend dollars equivalent established as follows EXAMPLES exponent expression Extracting the square Find the value fraction geometrical mean geometrical progression given equation Hence highest common divisor imaginary numbers integer logarithm lowest common multiple mantissa monomial multiplied negative number number of permutations polynomial positive integer positive number pounds PRINCIPLE PROCESS proportion quadratic quotient radical ratio Reduce remainder result second term Simplify simultaneous equations SOLUTION Solve the equation Solve the following square root Substituting subtracted surd Transposing trial divisor twice units unknown number variable x²y x²y² xy²
Pasajes populares
Página 134 - Multiplying or dividing both terms of a fraction by the same number does not change the value of the fraction.
Página 210 - ... and if the number is divided by the sum of its digits, the quotient is 21 and the remainder 4.
Página 228 - Add to the trial divisor the figure last found, multiply this complete divisor by the figure of the root found, subtract the product from the dividend, and to the remainder annex the next period for the next dividend.
Página 403 - The exponent of the power to which a fixed number, called the base, must be raised in order to produce a given number is called the logarithm of the given number.
Página 225 - Then divide the first term of the remainder by the first term of the divisor...
Página 41 - A term may be transposed from one member of an equation to the other, provided its sign is changed.
Página 413 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Página 224 - Find the square root of the first term, write it as the first term of the root, and subtract its square from the given polynomial. Divide the first term of the remainder by...
Página 76 - 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.
Página 412 - The logarithm of a quotient is found by subtracting the logarithm of the divisor from that of the dividend.