User manual - Chapter 4 Equation Calculations

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19990401

Chapter

Equation Calculations

Your graphic calculator can perform the following three types of

calculations:

•Simultaneous linear equations

•Higher degree equations

•Solve calculations

From the Main Menu, enter the EQUA Mode.

• {SIML} ... {linear equation with 2 to 30 unknowns}

• {POLY} ... {degree 2 to 30 equations}

• {SOLV} ... {solve calculation}

4-1Simultaneous Linear Equations

4-2Higher Degree Equations

4-3 Solve Calculations

4-4What to Do When an Error Occurs

20011101

Summary of content (8 pages)

PAGE 1
Chapter 4 Equation Calculations Your graphic calculator can perform the following three types of calculations: • Simultaneous linear equations • Higher degree equations • Solve calculations From the Main Menu, enter the EQUA Mode. • {SIML} ... {linear equation with 2 to 30 unknowns} • {POLY} ... {degree 2 to 30 equations} • {SOLV} ...
PAGE 2
4-1-1 Simultaneous Linear Equations 4-1 Simultaneous Linear Equations Description You can solve simultaneous linear equations with two to thirty unknowns. • Simultaneous Linear Equation with Two Unknowns: a1x1 + b1x2 = c1 a2x1 + b2x2 = c2 • Simultaneous Linear Equation with Three Unknowns: … a1x1 + b1x2 + c1x3 = d1 a2x1 + b2x2 + c2x3 = d2 a3x1 + b3x2 + c3x3 = d3 Set Up 1. From the Main Menu, enter the EQUA Mode. Execution 2.
PAGE 3
4-1-2 Simultaneous Linear Equations ○ ○ ○ ○ ○ Example To solve the following simultaneous linear equations for x, y, and z 4x + y – 2z = – 1 x + 6y + 3z = 1 – 5 x + 4y + z = – 7 Procedure 1 m EQUA 2 1(SIML) 2(3) 3 ewbw-cw-bw bwgwdwbw -fwewbw-hw 4 6(SOLV) Result Screen # Internal calculations are performed using a 15digit mantissa, but results are displayed using a 10-digit mantissa and a 2-digit exponent.
PAGE 4
-2-1 Higher Degree Equations 4-2 Higher Degree Equations Description You can use this calculator to solve higher degree equations such as quadratic equations and cubic equations. • Quadratic Equation: ax2 + bx + c = 0 (a ≠ 0) • Cubic Equation: … ax3 + bx2 + cx + d = 0(a ≠ 0) Set Up 1. From the Main Menu, enter the EQUA Mode. Execution 2. Select the POLY (higher degree equation) Mode, and specify the degree of the equation. You can specify a degree from 2 to 30.
PAGE 5
4-2-2 Higher Degree Equations ○ ○ ○ ○ ○ Example To solve the cubic equation x3 – 2x2 – x + 2 = 0 Procedure 1 m EQUA 2 2(POLY) 2(3) 3 bw-cw-bwcw 4 6(SOLV) Result Screen (Multiple Solutions) (Complex Number Solution) 19990401 20011101
PAGE 6
4-3-1 Solve Calculations 4-3 Solve Calculations Description The Solve Calculation Mode lets you determine the value of any variable in a formula without having to solve the equation. Set Up 1. From the Main Menu, enter the EQUA Mode. Execution 2. Select the SOLV (Solver) Mode, and input the equation as it is written. If you do not input an equals sign, the calculator assumes that the expression is to the left of the equals sign, and there is a zero to the right. *1 3.
PAGE 7
4-3-2 Solve Calculations ○ ○ ○ ○ ○ Example An object thrown into the air at initial velocity V takes time T to reach height H. Use the following formula to solve for initial velocity V when H = 14 (meters), T = 2 (seconds) and gravitational acceleration is G = 9.8 (m/s2). H = VT – 1/2 GT2 Procedure 1 m EQUA 2 3(SOLV) ax(H)!.(=)ac(V)a/(T)-(b/c) a$(G)a/(T)xw 3 bew(H = 14) aw(V = 0) cw(T = 2) j.iw(G = 9.8) 4 Press f to highlight V = 0, and then press 6(SOLV).
PAGE 8
4-4-1 What to Do When an Error Occurs 4-4 What to Do When an Error Occurs u Error during coefficient value input Press the i key to clear the error and return to the value that was registered for the coefficient before you input the value that generated the error. Try inputting a new value again. u Error during calculation Press the i key to clear the error and display the coefficient. Try inputting values for the coefficients again. k Clearing Equation Memories 1.