T89 Calculator Functions and Solutions

This tutorial guides users on solving various types of equations using the TI-89 graphing calculator. It covers setting the calculator to exact mode, solving linear and quadratic equations, including those that are non-factorable, and handling exponential and complex equations. The tutorial emphasizes using the solve and C solve functions and provides insights into interpreting solutions, especially when they involve natural logs or complex numbers.

What mode should the T89 calculator be set to for exact solutions?

• Exact

• Graphical

• Automatic

• Approximate

Which function is used to solve linear equations on the T89 calculator?

• Plot

• Solve

• Graph

• Calculate

What is the solution to the equation 3x + 7 = 19 using the T89 calculator?

• x = 6

• x = 5

• x = 4

• x = 3

How many solutions does the quadratic equation x^2 - 2x - 15 = 0 have?

• Three

• One

• Two

• None

What method is used to solve non-factorable quadratic equations on the T89?

• Trial and Error

• Quadratic Formula

• Graphing

• Substitution

What is the exact solution for the exponential equation e^(2x) + 5 = 12?

• x = ln(2)/2

• x = ln(7)/2

• x = ln(5)/2

• x = ln(12)/2

What is a key consideration when dealing with solutions involving natural logs?

• They are always positive

• They are always integers

• They are always negative

• They can be expressed in different forms

What does the T89 calculator indicate if an equation has no real solutions?

• False

• Error

• True

• Undefined

Which function is used to solve equations with complex solutions on the T89?

• Solve

• Graph

• C solve

• Approximate

What are the complex solutions for the equation x^2 + 4 = 0?

• x = 3i or x = -3i

• x = 1i or x = -1i

• x = 4i or x = -4i

• x = 2i or x = -2i