An Introduction To Mathematics - With Applns to Science and by I. Miller

By I. Miller

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P 3. x 1 y + x- 8. P+l 1 m n m+ n 9. + - m 1 1 10. 1 +1- n + (_^__^ 1 -r 24. Fractional equations. To solve involves fractionsi clear it of fractions / \a + an + fll + i a _Ji_) - equation that by multiplying each AN INTRODUCTION TO MATHEMATICS 22 member by common denominator the lowest [CHAP. ) of the (Sec Art. D. may or may not introduce new roots that do fractions. not satisfy the equation to be solved. Such roots that do not satisfy the original equation are called extraneous roots. 5 Example 3 Solve 1.

8 - 10 3* -- x __ 2. 7. 4 3 u" 3 -| *+ 17 +3 x - m+ m 7 x a: z-2 1 A Q , i - s - x 8 m+ m n n - 9 CHAPTER V FUNCTIONS 25. Constants and variables. A constant is a symbol which represents the same number throughout a discussion. A variable is a symbol which may represent different numbers in the discussion or problem into which it enters. rr3 the symbol T is a constant, whatever values V and r , may have, while V and r are variables. In most cases the letters a, 6, c, .... from the beginning of the alphabet are used to denote constants while the letters #, y, z at the end of the alphabet are used to denote variables.

It is evident that have but one one get the triangles Therefore the slope of it parallel to the X-axis, and TV, we AB erect at PQR and STV = QR = TV we if AB S on -X take any other point and draw through Fia 17 can line slope, for a say line S T, T a perpendicular which are similar. (a constant vame). Problem. Given two points P(x\ y\) and Qfa, 2/2) Express the slope of the line joining these points in terms of the coordinates of the points, Fig. 18. , Solution. Drop perpendiculars Slope of PQ to the axes as shown.

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