Advanced Algebra for Colleges and SchoolsAmerican Book Company, 1902 - 608 páginas |
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Página 40
... equation x - 2 = 8 , what is done with the 2 in obtaining the value of x ? In the equation = 8 + 2 , how does the sign of 2 compare with its sign in the previous equation ? +28 , what is done with the 2 in = 4. In the equation obtaining ...
... equation x - 2 = 8 , what is done with the 2 in obtaining the value of x ? In the equation = 8 + 2 , how does the sign of 2 compare with its sign in the previous equation ? +28 , what is done with the 2 in = 4. In the equation obtaining ...
Página 41
... equation to the other is called Transposition . 72. PRINCIPLE . - A term may be transposed from one member of an equation to the other , provided its sign is changed . 73. A truth that does not need demonstration is called an Axiom . 74 ...
... equation to the other is called Transposition . 72. PRINCIPLE . - A term may be transposed from one member of an equation to the other , provided its sign is changed . 73. A truth that does not need demonstration is called an Axiom . 74 ...
Página 42
... equation . If the members are then identical , the value found for the un- known number is correct . 2. If 5 x 7 ... equation and the known terms in the second . Unite similar terms , and divide both members of the equation by the ...
... equation . If the members are then identical , the value found for the un- known number is correct . 2. If 5 x 7 ... equation and the known terms in the second . Unite similar terms , and divide both members of the equation by the ...
Página 84
... EQUATIONS AND PROBLEMS 115. 1. Find the value of x in the equation ba — b2 — cx — c2 . = SOLUTION Transposing , bx b2 cx — c2 . = - bx cx = b2 — c2 . Collecting coefficients of x , ( b − c ) x = b2 — c2 . Dividing by bc , x == b2 b ...
... EQUATIONS AND PROBLEMS 115. 1. Find the value of x in the equation ba — b2 — cx — c2 . = SOLUTION Transposing , bx b2 cx — c2 . = - bx cx = b2 — c2 . Collecting coefficients of x , ( b − c ) x = b2 — c2 . Dividing by bc , x == b2 b ...
Página 163
William James Milne. SIMPLE EQUATIONS ONE UNKNOWN NUMBER 186. An Equation has been defined , § 2 , as an expression of equality between two numbers or ... equations . A literal equation that is true for all values of 163 SIMPLE EQUATIONS.
William James Milne. SIMPLE EQUATIONS ONE UNKNOWN NUMBER 186. An Equation has been defined , § 2 , as an expression of equality between two numbers or ... equations . A literal equation that is true for all values of 163 SIMPLE EQUATIONS.
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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
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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.