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" Let the equation first be cleared of fractions ; then transpose all the terms which involve the unknown quantity to one side of the equation, and the known quantities to the other... "
The Elements of Algebra: Designed for the Use of Students in the University - Σελίδα 50
των James Wood - 1815 - 305 σελίδες
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Mathematics: Compiled from the Best Authors and Intended to be the ..., Τόμος 1

1801 - 446 σελίδες
...finding the yalue of x, hi each of these Aquations, is as follows ; j. Transpose all the terms, that involve the unknown quantity, to one side of the equation, and the known terms to the other $ide, and let them be ranged according to their dirnensiops. 2. When * The square...

A New and Complete System of Arithmetick: Composed for the Use of the ...

Nicolas Pike - 1808 - 470 σελίδες
...— b. And the rule for finding the value of r, in each of these equations, is as follows : RULE* 1. Transpose all the terms, which involve the unknown...quantity, to one side of the equation, and the known terms to the «ther side, and let them be ranged according to their dimensions. 2. When • The fquare...

The British Encyclopedia, Or Dictionary of Arts and Sciences ..., Τόμος 1

William Nicholson - 1809 - 716 σελίδες
...be equal. Let x = 8 1 ; then *i = 9. Tofi"d the value of an unknown quantity in " s"n!>te ^uat'mLet the equation first be cleared of fractions, then transpose...quantities to the other ; divide both sides by the co-efflcient, or sum of. the co-efficients, of the unknown quantity, and the value required is obtained....

The Modern Preceptor ; Or, a General Course of Education, Τόμος 1

John Dougall - 1810 - 734 σελίδες
...quadratic equations : viz, 1st. when the terms involving the unknown quantity are all transposed to the one side of the equation, and the known quantities to the other, and the term involving the square of the unknown quantity is positive ; then if this square be multiplied...

An Introduction to Algebra: With Notes and Observations: Designed for the ...

John Bonnycastle - 1811 - 230 σελίδες
...— b. The rule for finding the value of x, in each of these equations, is as follows : HULE*. 1 . Transpose all the terms which involve the unknown...quantity to one side of the equation, and the known terms to the other, and let them be ranged according to their dimensions. * The square root of any...

A Course of Mathematics: For the Use of Academies as Well as Private Tuition

Charles Hutton - 1812 - 620 σελίδες
...simple form, as usual, such as the forms above ; namely, by transposing all the terms which contain the unknown quantity to one side of the equation, and the known terms to the other ; placing the square term first, and the single power second ; dividing the equation...

A Treatise on Algebra, in Practice and Theory: With Notes and ..., Τόμος 1

John Bonnycastle - 1813 - 456 σελίδες
...above mentioned, may be resolved by means of the following rule : , RUÍE. Transpose all the terms that involve the .unknown quantity to one side of the equation, and the known terms to the other ; observing to arrange them so, that the term which contains the square'of the,...

The Young Man's Best Companion and Guide to Useful Knowledge

John Dougall - 1815 - 514 σελίδες
...known quantity and their conjunct value is also known, the unknown quantity may be transposed to the one side of the equation, and the known quantities to the other, as in this example, where the value of A- is required, at the same time that if 8 be taken from x,...

An Introduction to Algebra: With Notes and Observations : Designed for the ...

John Bonnycastle - 1818 - 284 σελίδες
...above mentioned, may be resolved by means of the following rule : RULE. Transpose all the terms that involve the unknown quantity to one side of the equation, and the known terms to the other ; observing to arrange them so, that the term which contains the square of the unknown...

American Edition of the British Encyclopedia: Or, Dictionary of ..., Τόμος 1

William Nicholson - 1819 - 432 σελίδες
...value of an unknown quantity in a simple equation. Let the equation first be cleared of fee tions, then transpose all the terms which involve the unknown...sides by the coefficient, or sum of the co-efficients, ot the unknown quantity, and the value required is obtained. value may be found by the rules before...




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