March 31 2018

**Construct a quadratic equa****tion whose root are - ½ and 2(1). (A)3x^2 – 3x + 2 = 0 (B)3x^2 + 3x – 2 = 0 (C)2x^2 + 3x – 2 = 0 (D)2x^2 – 3x - 2 = 0Solution:- Using CASIO fx-991MS calculator, make x = - 1/ 2 and x = 2, To produce the correct answer first make x = - ½Checking option(A)3x^2 – 3x + 2 = 0[ON] [(-)] [1] [a b /c ] [2] [SHIFT] [STO] [X] (x = -1 /2 )Note:-Please use the key [AC] during calculations after you press the key [ON] on any question given[AC] [3] [ALPHA] [X] [x2 ] [-] [3] [ALPHA] [X] [+] [2] [=] (4.75)Option (A) is wrong because it did not give zero. Since it did not give zero don't bother to calculate the other root go to the next optionChecking option (B)3x^2 + 3x – 2 = 0make one of the factors x = - ½[AC] [(-)] [1] [a b /c] [2] [SHIFT] [STO] [X] (x = - ½)[AC] [3] [ALPHA] [X] [x2 ] [+] [3] [ALPHA] [X] [-] [2] [=] (-2.75)Option (B) is wrong because it did not give zero. Since it did not give zero don't bother to calculate the other root go to the next optionChecking option (C)2x^2 + 3x – 2 = 0make one of the factors x = - ½[AC] [(-)] [1] [a b /c] [2] [SHIFT] [STO] [X] (x = - ½)[AC] [2] [ALPHA] [X] [x2 ] [+] [3] [ALPHA] [X] [-] [2] [=] (-3)Option (C) is wrong because it did not give zero. Since it did not give zero don't bother to calculate the other root go to the next optionChecking option (D)2x^2 – 3x + 2 = 0make one of the factors x= - ½[AC] [(-)] [1] [a b /c] [2] [SHIFT] [STO] [X] (x = - ½)[AC] [2] [ALPHA] [X] [x2 ] [-] [3] [ALPHA] [X] [+] [2] [=] (0)one of the root is correct because it gives zero. Since it gives zero calculate the other root go to the next factor x = 2 make the other root x=2[AC] [2] [STO] [X] (x=2)[AC] [2] [ALPHA] [X] [X2 ] [-] [3] [ALPHA] [X] [-] [2] [=](0)if the roots -1/2 and 2 is equal to 2x2 -3x+2 option E is correct The correct option is option “(D)” because it is equal to zeroOR(2). Construct a quadratic equation whose root are - ½ and 2(A)3x^2 – 3x + 2 = 0 (B)3x^2 + 3x – 2 = 0 (C)2x^2 + 3x – 2 = 0 (D)2x^2 – 3x + 2 = 0Solution:- Using CASIO fx-991MS calculatorChecking option (A) 3x 2 – 3x + 2 = 0Solving the equation 3x^2 – 3x + 2 = 0 ------ax^2 + bx + c = 0 where a = 3, b = -3, c = 2Press [ON] [MODE] [MODE] [MODE] [1] [→] [2] [3] [=] [(-)] [3] [=] [2] [=] (X 1 = 0.5) press [a b /c] ( ½ ) press [=] or [↓] (X 2 = 0.5) press [MODE] [1]Option “A” is wrong because it didn’t give the roots as - ½ and 2. Go to the next optionChecking option (B) 3x2 + 3x – 2 = 0Solving the equation 3x^2 + 3x – 2 = 0 ------ax^2 + bx + c = 0 where a = 3, b = 3, c = -2Press [ON] [MODE] [MODE] [MODE] [1] [→] [2] [3] [=] [3] [=] [(-)] [2] [=] (X 1 = 0.457427107) press [=] or [↓] (X 2 = 0.5) press [MODE] [1]Option “B” is wrong because it didn’t give the roots as - ½ and 2. Go to the next optionChecking option (C) 2x^2 + 3x – 2 = 0Solving the equation 3x^2 + 3x – 2 = 0 ------ax^2 + bx + c = 0 where a = 3, b = 3, c = -2Press [ON] [MODE] [MODE] [MODE] [1] [→] [2] [2] [=] [3] [=] [(-)] [2] [=] (X 1 = 0.5) press [a b /c] (½) [=] or [↓] (X 2 = -2) press [MODE] [1]Option “C” is correct because it give the roots as - ½ and 2. The correct option is “c”**

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