find the roots of the following quadratic equation by facterisation 3(x-4)² – 5(x - 4) = 12
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3(x-4)² - 5(x - 4) = 12
=> 3(x²-8x+16) - 5x + 20 = 12
=> 3x² - 24x + 48 -5x + 20 = 12
=> 3x² - 29x + 56 = 0
=> 3x² - 21x - 8x + 56 = 0
=> 3x(x-7) - 8(x-7) = 0
=> (3x-8)(x-7) = 0
Required roots of the given quadratic equation :
8/3 and 7
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