| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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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