HP 40gs hp 40gs_user's guide_English_E_HDPMSG40E07A.pdf - Page 219
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hp40g+.book Page 37 Friday, December 9, 2005 1:03 AM SOLVE then press ENTER. The following is then written to the Equation Writer: ⎝⎛ x = -12--⎠⎞ AND ⎛ ⎝ y = 52--⎠⎞ AND ⎛ ⎝ z = -12--⎠⎞ Solve equations SOLVE has as two parameters: (1) either an equality between two expressions, or a single expression (in which case = 0 is implied), and (2) the name of a variable. SOLVE solves the equation in R in real mode and in C in complex mode (ignoring REALASSUME). Typing: SOLVE(X4-1=3,X) gives, in real mode: (x = −√2) OR (x = √2) or, in complex mode: (x = −√2) OR (x = √2) OR (x = −i · √2) OR (x = i√2) Solve systems SOLVE also enables you to solve a system of non-linear equations, if they are polynomials. (If they are not polynomials, use MSOLV in the HOME screen to get a numerical solution.) It is assumed that the various equations are of the form expression = 0. SOLVE has as arguments, the first members of the various equations separated by AND, and the names of the various variables separated by AND. Typing: SOLVE(X2+Y2-3 AND X-Y2+1,X AND Y) gives: (x = 1) AND (y = −√2) OR (x = 1) AND (y = √2) Computer Algebra System (CAS) 14-37