Appendix B.pdf - Cambridge University Press

706 Essential Mathematical Methods 3&4CASOperations in the Algebra menu1:solve(This is used to solve equations, simultaneous equations and also linear inequations.There are buttons for x, y, z and t; other letters may be accessed using the ALPHAbutton.Youmay need to use the 2ND button to access other operators, e.g., press 2ND MATH andfind ‘and’ in the 8:Test sub-menu.Forexample:solve(a ∗ x + b = 0, x) results in x =− b asolve(x 2 + x − 1 = 0, x) results in x = −(√ 5 + 1)or√ 25 − 1x =2Note: It is necessary to use ∗ in the expression a ∗ x + b as axwithout the operator is read as a new variable.solve(a ∗ b ∗ t − w + t = w ∗ (ab + 1)tt, w) results in w =t + 1solve(x 3 − x 2 − x + 1 = 0, x) results in x = 1orx =−1solve(2x + √ 2 < 3, x) results in x < −(√ 2 − 3)2solve(2x + 3y = 6 and x − y = 1, {x, y}) results in x = 9 5and y = 4 5Note: There is no requirement to use ∗ between the 2 and x.2:factor(This command is used for factorisation.Factorisation over the rational numbers is obtained byimplementing the command without the separate designationof the variable.Forexample:to factorise x 3 − 2x over the rational numbers, thecommand is factor(x 3 − 2x).to factorise over the real numbers, the commandis factor(x 3 − 2x, x).Some further examples are provided here. The results areshown on the given screens.factor(a 2 − b 2 )factor(a ( 3 − b 3 ))2factorx − 1 + 1(x − 1) + 1 2SAMPLECambridge University Press • Uncorrected Sample Pages •2008 © Evans, Lipson, Jones, Avery, TI-Nspire & Casio ClassPad material prepared in collaboration with Jan Honnens & David Hibbard