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Solve the equation 12x-7x+1=0 by fatorising  the LHS(lefthandside)

Can someone help please?

Guest Jan 5, 2018

#1
+26402
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12x2 -7x+1=0  →  (4x - 1)(3x - 1)

Note that the constants must both be +1 or -1, and since the  -7x term is negative they must both be -1.  Also the factors of 12 must sum to 7.  This means only 3 and 4 will do.

The solutions are therefore given by 4x -1 = 0  or x = 1/4  and  3x - 1 = 0 or x = 1/3

Alan  Jan 5, 2018
edited by Alan  Jan 5, 2018
Sort:

#1
+26402
+1

12x2 -7x+1=0  →  (4x - 1)(3x - 1)

Note that the constants must both be +1 or -1, and since the  -7x term is negative they must both be -1.  Also the factors of 12 must sum to 7.  This means only 3 and 4 will do.

The solutions are therefore given by 4x -1 = 0  or x = 1/4  and  3x - 1 = 0 or x = 1/3

Alan  Jan 5, 2018
edited by Alan  Jan 5, 2018

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