University Algebra: Embracing a Logical Development of the Science with Numerous Graded ExamplesA.S. Barnes, 1889 - 320 páginas |
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Página 81
... member ; that on the right , the second member . Thus , in the equation , x + y = a - C , xy , is the first member , and a - C , the second member . 78. Equations are divided into two classes : those con- taining but one unknown ...
... member ; that on the right , the second member . Thus , in the equation , x + y = a - C , xy , is the first member , and a - C , the second member . 78. Equations are divided into two classes : those con- taining but one unknown ...
Página 85
... member to the other , without destroying the equality of the members . Take the equation , If we add to quantity 62 ... second member , and -6x to the first member , by changing their signs . In like manner , any term may be transposed ...
... member to the other , without destroying the equality of the members . Take the equation , If we add to quantity 62 ... second member , and -6x to the first member , by changing their signs . In like manner , any term may be transposed ...
Página 86
... member , and the known terms to the second member ( Art . 84 ) , we have , 20x15x = 240 15 - - 210 . Reducing the terms in the two members , we have 5 – 15 . Dividing both members by the coefficient of x , we have , x = 3 . In the same ...
... member , and the known terms to the second member ( Art . 84 ) , we have , 20x15x = 240 15 - - 210 . Reducing the terms in the two members , we have 5 – 15 . Dividing both members by the coefficient of x , we have , x = 3 . In the same ...
Página 87
... members by the coefficient of the un known quantity : the second member will be the value of the unknown quantity . 2 EXAMPLES . 1. Solve the equation , 5x = 6x + 3 7x + 15 11 3 . 2 12x 677x + 165 - Clearing of fractions , 110x ...
... members by the coefficient of the un known quantity : the second member will be the value of the unknown quantity . 2 EXAMPLES . 1. Solve the equation , 5x = 6x + 3 7x + 15 11 3 . 2 12x 677x + 165 - Clearing of fractions , 110x ...
Página 124
... members of this equation be multiplied by ( y ) , the first member will become ( x + y ) +1 ; to find what the second member becomes , let us perform the multiplication . 2011 + mxm - · y + m x + 124 ELEMENTS OF ALGEBRA .
... members of this equation be multiplied by ( y ) , the first member will become ( x + y ) +1 ; to find what the second member becomes , let us perform the multiplication . 2011 + mxm - · y + m x + 124 ELEMENTS OF ALGEBRA .
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Términos y frases comunes
algebraic Arithmetic ax² Binomial Formula Clearing of fractions coefficients common difference containing contrary signs cube root Davies denominator denote the number distance dividend divisible equal roots equation whose roots EXAMPLES exponent expressions Extract the square factors Find the cube Find the fourth Find the greatest Find the square following RULE geometrical progression given equation greatest common divisor Hence imaginary indicated irreducible fraction last term least common multiple Let x denote logarithm miles monomial Multiplying both members negative nth root number of terms operation partial fractions polynomial positive preceding problem proportion quotient radical sign real roots Reduce remainder resulting equation roots equal second degree second member second term solved square root STURM'S THEOREM Substituting subtract third Transform the equation Transposing travels unknown quantity Whence whole number write X₁
Pasajes populares
Página 258 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Página 255 - THE LOGARITHM: of a number is the exponent of the power to which it is necessary to raise a fixed number, to produce the given number. The fixed number is called the base of the system.
Página 136 - Which proves that the square of a number composed of tens and units contains, the square of the tens plus twice the product of the tens by the units, plus the square of the units.
Página 36 - 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.
Página 81 - The part of the equation which is on the left of the sign of equality is called the first member ; the part on the right of the sign of equality, the second member.
Página 231 - If four quantities are in proportion, they will be in proportion by COMPOSITION...
Página 72 - 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.