Calculator TechniquesPrepared By: Engr. Jamille G. Quindara

Lesson 1. Calcu Tech/ Theory / Practice

Quadratic Equation

A quadratic equation is a second order polynomial equation in a single variable. Because it is second-order polynomial equation, the fundamental theorem of algebra guarantees that it has two solutions.

General Formula:

Roots

Problem 1. Find the roots of X2 + 5x + 6a. -2 , -3b. 10, 5c. 6, -3d. -8, 1

Solution :

Mode (5) (3)

Solution :

Mode (5) (3)

*Input value of a b and c

1 (=) 5 (=) 6 (=)

Solution :

Mode (5) (3)

*Input value of a b and c

1 (=) 5 (=) 6 (=)

Ans. -2 , -3

Problem 2.

Find the sum of the roots of the equation 3X2-11x-4=O

a. -1/4b. 10/6c. 1/4d. 11/3

Solution :

Mode (5) (3)

Solution :

Mode (5) (3)

*Input values of a b and c

3 (=) -11 (=) -4 (=)

Solution :

Mode (5) (3)

*Input values of a b and c

3 (=) -11 (=) -4 (=)

X1 = 4 , X2 = -1/3

Solution :

Mode (5) (3)

*Input values of a b and c

3 (=) -11 (=) -4 (=)

X1 = 4 , X2 = -1/3

4 + (-1/3) = 11/3

Problem 3.

The equation whose roots are the reciprocals of the roots of the equation, 2X2 - 3x – 5 = 0

a. 2X2 – 5x – 3 = 0b. 5X2 – 2x – 3 = 0c. 5X2 + 3x – 2 = 0d. 3X2 – 5x – 2 = 0

Lesson 2: Calculator Functions/ Mode/ Setup

Default Calculator Mode:

Press : ON Shift

Mode Setup 1 (Mth I0) 1 (Math0) Mode Setup 1 (Comp)

Clearing Cache

Press : ON Shift 9

3 (All) = (yes) AC

Press Mode

1: Comp 2: Cmplx 3: Stat 4: Base-N 5: Eqn 6: Matrix 7: Table 8: Vector

Mode 1. Comp Includes basic computation/basic functions

Lesson 3. Mode 1 ( Comp)

LESSON 3.1 SHIFT SOLVE

Problem. 1Solve x in the equation 2log 4 x - log 4 9 = 2

a. 12b. 10c. 11d. 12

Solution:

Input 2log 4 x - log 4 9 = 2

Solution:

Input 2log 4 x - log 4 9 = 2

Alpha XAlpha )

log

Alpha Calc

Solution:

Input 2log 4 x - log 4 9 = 2

Press Shift CalcInput Any number from the choices

Alpha )

log

Alpha Calc

225 = Find n

log x2 – log 5x = log 20 ; Find x

½(x^2+3x) – ½(x^2-3x) = 21 Find x

4(72n+1) – 10(52n-1)

2(42n) 661/16

LESSON 3.2 REMAINDER THEORM

Problem 2. When you divide X2 – 2x + 2 = 0 by (x – 2), find the remainder.

a. 2b. 4c. 5d. 8

Solution:

Input the equation X2 – 2x + 2

Replace X by 2

Solution:

Input the equation X2 – 2x + 2

(2)2 – 2(2) + 2

Replace X by 2

Solution:

Input the equation X2 – 2x + 2

(2)2 – 2(2) + 2 = 2

Replace X by 2

If (x+3) is a factor of X3 + 3X2 + 4X + K , f ind K

a. 11b. 12c. 13d. 14