Question

x ( x -1 ) = x + 3


Please give me the correct answer with clear steps .

Answer 1

Answer:

Your answer is x = 3 or x= ( -1 ).

Step-by-step explanation:

x ( x - 1 ) = x + 3

x^2 - x = x + 3

x^2 - x - x - 3 = 0

x^2 - 2x - 3 = 0

x^2 - 3x + x - 3 = 0

(x^2 + x) - (3x - 3) = 0

x( x + 1 ) - 3 ( x + 1 ) = 0

(x - 3 ) ( x +1 ) = 0

So, x= 3 or x = ( -1 ).

Answer 2

Answer:

x = -1, 3

Step-by-step explanation:

x ( x -1 ) = x + 3

=> x² - x = x + 3

=> x² - 2x - 3 = 0

=> x² - 3x + x - 3 = 0

=> x ( x - 3 ) + 1 ( x - 3 ) = 0

=> ( x + 1 ) ( x - 3 ) = 0

=> x = -1, 3

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