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" An equation of the third, fourth, &c. degree, is one in which the highest power of the unknown quantity is the third, fourth, &c. "
An Elementary Treatise on Algebra, Theoretical and Practical: With Attempts ... - Page 52
by John Radford Young - 1839
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An Elementary Treatise on Algebra, Theoretical and Practical: With Attempts ...

John Radford Young - Algebra - 1838 - 358 pages
...expresses the equality between 4 + 8 and 12; also, if there be an equality between a — b + c &ndf+g — A, then a — b + c—f+g — A expresses that equality,...the unknown quantity, is called an equation of the mih degree. NOTE. Each of the two members of an equation is called a side. AXIOMS. (47.) 1. If equal...
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An Elementary Treatise on Algebra, in Theory and Practice: With Attempts to ...

John D. Williams - Algebra - 1840 - 636 pages
...number of times exactly ;. thus 16a is a multiple of 4ffl, as it contains it exactly four times. 32. An equation of the third, fourth, &c., degree, is...of the unknown quantity is the third, fourth, &c., powers ; and in general, an equation, in which the unknown quantity is called an equation of the with...
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A Practical System of Algebra in Theory and Practice in Two Parts: With a ...

John D. Williams - Algebra - 1840 - 193 pages
...certain number of times exactly ; thus 16a is a multiple of 4a, as it contains it exactly four times. 32. An equation of the third, fourth, &c., degree, is...of the unknown quantity is the third, fourth, &c., powers ; and in general, an equation, in which the unknown quantity is called an equation of the mih...
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The Elements of Arithmetic ... in which Decimal and Integral Arithmetic are ...

Pliny Earle Chase - 1844 - 258 pages
...the sign of equality, as in the above example, the whole is called an EQUATION. A QUADRATIC EQUATION, is one in which the highest power of the unknown quantity is the square. 17. Find the value of x in the quadratic equation 3a:2 + 7a;=780. 18. Find the root of the...
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Elements of Arithmetic: For Schools and Academies. In which Decimal and ...

Pliny Earle Chase - Arithmetic - 1844 - 248 pages
...the sign of equality, as in the above example, the whole is called an EQUATION. A QUADRATIC EQUATION, is one in which the highest power of the unknown quantity is the square. 17. Find the value of x in the quadratic equation 3x* +7x=780. 18. Find the root of the quadratic...
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A Treatise on Algebra

Elias Loomis - Algebra - 1846 - 380 pages
...constitute a variation ; and those of the third and fourth also a variation. (292.) A cubic equation is one in which the highest power of the unknown quantity is of the third degree, as, for example, > — 6ж2 + Sx — 15 = 0. All equations of the third degree...
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A Treatise on Algebra

Elias Loomis - Algebra - 1846 - 346 pages
...constitute a variation ; and those of the third and fourth also a variation. (292.) A cubic equation is one in which the highest power of the unknown quantity is of the third degree, as, for example, ^_6a;a + 8o;-- 15 = 0. All equations of the third degree may...
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The Elements of Arithmetic...: In which Decimal and Integral ..., Part 2

Pliny Earle Chase - Arithmetic - 1848 - 240 pages
...the sign of equality, as in the above example, the whole is called an EQUATION. A QUADRATIC EQUATION, is one in which the highest power of the unknown quantity is the square. 17. Find the value of x in the quadratic equation 3a:3 +7x=780. 18. Find the root of the quadratic...
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The elements of algebra, with additions by W. Galbraith and W. Rutherford

John Bonnycastle - 1848 - 334 pages
...- 4. x — 7-6172792. x = 1-4253514. x = 14-9540686. BIQUADRATIC EQUATIONS. A biquadratic equation is one in which the highest power of the unknown quantity is the fourth power. The general form is x4 + ax3 + bx2 + ex + d = 0, or when the second term is removed by...
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A Practical Treatise on Algebra: Designed for the Use of Students in High ...

Benjamin Greenleaf - Algebra - 1853 - 370 pages
...equation is one in which the highest power of the unknown quantity is a square. 131 i A cubic equation is one in which the highest power of the unknown quantity is a cube ; as, z3=64 ; or, 3?— aa?-\-bx=c. 132. The root of an equation is such a quantity as, being...
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