5. Find the roots of the following quadratic
equation :
(x + 3)(x - 1) = 3(x -1/3 )
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Step-by-step explanation:
(x + 3) (x - 1) = 3(x - 1/3)
=> x^2 - x + 3x - 3 = 3x - 3 / 3
=> x^2 + 2x - 3 = 3x - 3/3
=> 3 (x^2 + 2x - 3) = 3x - 3
=> 3x^2 + 6x - 9 = 3x - 3
=> 3x^2 + 6x - 3x - 9 + 3 =0
=> 3x^2 + 3x - 6 = 0
=> 3 (x^2 + x - 2) = 0
=> x^2 + x - 2 = 0
=> x^2 + (2-1) x - 2 = 0
=> x^2 + 2x - x - 2 = 0
=> x (x + 2) - 1 (x + 2) = 0
=> (x + 2) (x - 1) = 0
either, x = -2
or, x = 1
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