March 16 2018

(1). Express 5x –12/

(x – 2)(x – 3)

(A) 2 - 2 (B) 2 + 3

(C) 2 - 3 (D) 5 - 2

(x – 2) (x – 3) (x – 2) (x – 3 ) (x – 3) (x – 2) (x – 2) (x – 2)

Solution:-Using CASIO fx-991MS calculator.

--when dividing the numerator and the denominator put brackets to avoid errors when using CASIO fx-991MS calculator except it is a whole number i.e.

“(5x – 4)”/

“((x – 2)(x – 2))”

Note:-Please use the key [AC] during calculations after you press the key [ON] on any question given

[AC] [(] [5] [ALPHA] [X] [-] [1] [2] [)] [a b / c ] [(] [(] [ALPHA] [X] [-] [2] [)] [(] [ALPHA] [X] [-] [3] [)] [)] [=] ( 11 / 14 )

Checking option A, B, C, D if any of the option gives 11 / 14 it is correct but if it didn’t give 11 /14 it is wrong

Checking option (A) 2 - 2/

(x – 2) (x – 3)

[AC] [2] [a b / c ] [(] [ALPHA] [X] [-] [2] [)] [-] [3] [a b / c ] [(] [ALPHA] [X] [-] [3] [)] [=] (- 3 / 14 )

Option (A) is wrong because it did not give 11 /14

Checking option (B) 2 + 3/

(x – 2) (x – 3)

[AC] [2] [a b / c ] [(] [ALPHA] [X] [-] [2] [)] [+] [3] [a b / c] [(] [ALPHA] [X] [-] [3] [)] [)] [=] ( 11 / 14 )

Option (B) is correct because it give

11 /14

Checking option (C) 2 - 3/

(x – 3) (x – 2)

[AC] [5] [a b / c ] [(] [(] [ALPHA] [X] [-] [3] [)] [-] [4] [a b / c ] [(] [ALPHA] [X] [-] [2] [)] [)] [=] ( 11 / 42 )

(x – 2) (x – 3)

[AC] [5] [a b / c ] [(] [(] [ALPHA] [X] [-] [3] [)] [-] [4] [a b / c ] [(] [ALPHA] [X] [-] [2] [)] [)] [=] ( 1 / 14 )

**(2). Express 1 as a partial fractionx 3 – 1(A) 1 / 3 { 1 / X – 1 – X – 2 / X2 – X + 1 } (B) 1 / 3 { 1 / X – 1 – X + 2 / X 2 + X + 1 } (C) 1 / 3 { 1 / X – 1 – X – 2 / X2 – X + 1 } (D) 1 / 3 { 1 / X – 1 – X + 2 / X2 – X – 1 }Solution:-Using CASIO fx-991MS calculator make x = any number of your choice i.e. x = 9**

**[ON] [9] [SHIFT] [STO] [X] (X=9)Note:-Please use the key [AC] during calculations after you press the key [ON] on any question given[AC] [1] [a b / c ] [(] [ALPHA] [X] [x 3 ] [-] [1] [)] [=] ( 1 / 728 )Checking option A, B, C, D if any of the option gives 1 /728 it is corret but if it didn’t give 1/728 it is wrongChecking (A) 1/ 3{ 1 / X – 1 – X – 2/ X2 – X + 1 }--when dividing the numerator and denominator put brackets to avoid error when using CASIO fx-991MS calculator except it is a whole numbersi.e. “( 1 /3 { 1 /(X – 1) – (X – 2) /(X 2 – X + 1) }”[AC] [1] [a b / c ] [3] [(] [1] [a b / c ] [(] [ALPHA] [X] [-] [1] [)] [-] [(] [ALPHA] [X] [-] [2] [)] [a b / c ] [(] [ALPHA] [X] [x 2 ] [-] [ALPHA] [X] [+] [1] [)] [)] [=] (17 / 1752)Option (A) is wrong because it did not give 1/728Checking (B) 1 / 3{ 1/ X – 1 – X + 2 / X2 + X + 1 }--when dividing the numerator and denominator put brackets to avoid error when using CASIO fx-991MS calculator except it is a whole numbers[AC] [1] [a b / c] [3] [(] [1] [a b / c ] [(] [ALPHA] [X] [-] [1] [)] [-] [(] [ALPHA] [X] [+] [2] [)] [a b / c] [(] [ALPHA] [X] [x 2 ] [+] [ALPHA] [X] [+] [1] [)] [)] [=] (1 / 728)Option (B) is correct because it give1/728Checking (C) 1 / 3{ 1/ X – 1 – X – 2 / X2 +x + 1 }--when dividing the numerator and denominator put brackets to avoid error when using CASIO fx-991MS calculator except it is a whole numbers[AC] [1] [a b / c ] [3] [(] [1] [a b / c ] [(] [ALPHA] [X] [-] [1] [)] [-] [(] [ALPHA] [X] [-] [2] [)] [a b / c ] [(] [ALPHA] [X] [x 2 ] [+] [ALPHA] [X] [+] [1] [)] [)] [=] (5 / 312)Option (C) is wrong because it did not give 1/728Checking (D) 1 / 3{ 1/ X – 1 – X + 2 / X2 – X – 1}--when dividing the numerator and denominator put brackets to avoid error when using CASIO fx-991MS calculator except it is a whole numbers[AC] [1] [a b / c ] [3] [(] [1] [a b / c ] [(] [ALPHA] [X] [-] [1] [)] [-] [(] [ALPHA] [X] [-] [2] [)] [a b / c ] [(] [ALPHA] [X] [x 2 ] [-] [ALPHA] [X] [+] [1] [)] [)] [=] (- 17 / 1704 )Option (D) is wrong because it did not give 1/728**

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