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- Simplify x in 3x2+2x =1
Question 1:
Simplify x in 3x2+2x =1 A. 1/3, -1
Feedback Rewriting our equation, we get 3x2+2x-1= 0
Here, the coefficient of x2 is 3. In these cases, we multiply the constant c with the coefficient
of x2. Therefore, the product of the numbers we choose should be equal to
-3 (-1*3).
Expressing 2x as a sum of +3x and –x
3x2+3x-x-1 = 0
3x(x+1)-1(x+1) = 0
(3x-1)(x+1) = 0
3x-1 = 0 or x+1 = 0
x = 1/3 or x = -1
Here, the coefficient of x2 is 3. In these cases, we multiply the constant c with the coefficient
of x2. Therefore, the product of the numbers we choose should be equal to
-3 (-1*3).
Expressing 2x as a sum of +3x and –x
3x2+3x-x-1 = 0
3x(x+1)-1(x+1) = 0
(3x-1)(x+1) = 0
3x-1 = 0 or x+1 = 0
x = 1/3 or x = -1
B. 2, 5
C. 3, 7
D. 8, 9
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