An Introduction To Mathematics with Applications to Science by Isaiah Leslie Miller

By Isaiah Leslie Miller

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Extra resources for An Introduction To Mathematics with Applications to Science and Agriculture

Example text

Thus, x and all identities, is true for only certain = 7 is an equation 3 10 only. Exercises Which 1. (I are the following, equations or identities? + m)* = ft + 2lm + m*. 13. Solution or root of an equation. By the solution or root an equation in one unknown we mean the value of the unknown that reduces the equation to an identity. Thus, 6 is a solution of 2 = 4, for when x = 6 the equation becomes the identity x 4 = 4. of 12 LINEAR EQUATIONS IN ONE ART. 17] UNKNOWN 13 14. Equivalent equations.

1 c)(c - a2 6) division. - 15a (6 - + 44 a)(c - a) See principles V and VI. AN INTRODUCTION TO MATHEMATICS 20 ^x , Example (<* (b). a - + 2 2 *>) - [CHAP. IV 6 * / b b Solution. Exercises Perform the following multiplications and divisions: s 2 + *)'* (1 a m 5. + ab m + mn 6. - mn m* a &\y 2 06 - (a \ x* - y . a-b a + b + 2mn ^ m m* ! + -- a 20 n 2 - ^ + a - a - 4n 2 62 2c 2 2 n2 25 n+l r 2 - a2 b c \a 800; ' 2 / ^ b/ 2 25 n2 o / 9. -/-! - +1 -1 + 2n - 8 ' n* n 2 ab y* x* 23. Complex y 4 + (x fractions.

Graphs In Art. 30 the graphical of Linear Equations. of was discussed and the functional relations representation some were of functions given. graphs Review Questions What 1. (d) meant by is (a) coordinate axes, (b) abscissa, (c) ordinate, coordinates of a point? 2. What 3. Locate points represented by (-3, 4. What is (-3, -2), (3, An is meant by the origin? What are its coordinates? 4), (5, -3), the plane figure having the points -2) (2, (3, -3), 2), (3, 2). 3, 2), for its vertices? C = (1) is called a linear be thrown into the form + By + equation of the form Ax If B ?