Find the roots of the following quadratic equation by factorisation: 3(x – 4)² – 5(x – 4) = 0
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take x-4 as common factor
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Answer:
x = 4 or x = 17/3
Step-by-step explanation:
Given Quadratic equation ,
3( x - 4 )² - 5( x - 4 ) = 0
=> ( x - 4 ) [ 3( x - 4 ) - 5 ] = 0
=> ( x - 4 )[ 3x - 12 - 5 ] = 0
=> ( x - 4 )( 3x - 17 ) = 0
Therefore ,
x - 4 = 0 or 3x - 17 = 0
x = 4 or x = 17/3
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