In finding the roots of the quadratic equation 6x2 − x − 2 = 0 by the method of
factorisation, the middle term ‘−x’ can be written as
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-x can be written as - 4x + 3x
Step-by-step explanation:
6x^2 - x -2 = 0
Factoriation of Quadratic Equations
Learn: Factorisation. ...
Step 1: Consider the quadratic equation ax^2 + bx + c = 0.
Step 2: Now, find two numbers such that their product is equal to ac and sum equals to b. ...
Step 3: Now, split the middle term using these two numbers, ...
Step 4: Take the common factors out and simplify.
6x^2 -4x + 3x - 2 = 0
2x(3x - 2) + 1(3x - 2) = 0
(3x-2) (2x + 1) = 0
1st root:
3x - 2 = 0
3x = 2
x = 2/3
2nd root:
2x+ 1 =0
2x = -1
x = -1/2
Thus, the two roots are 2/3 & -1/2.
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