Question

solve 2x²+7x-6=0 by splitting the middle term
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Answer 1

Factoring  2x2 + 7x + 6 

The first term is,  2x2  its coefficient is  2 .

The middle term is,  +7x  its coefficient is  7 .

The last term, "the constant", is  +6 

Step-1 : Multiply the coefficient of the first term by the constant   2 • 6 = 12 

Step-2 : Find two factors of  12  whose sum equals the coefficient of the middle term, which is   7 .

     -12   +   -1   =   -13     -6   +   -2   =   -8     -4   +   -3   =   -7     -3   +   -4   =   -7     -2   +   -6   =   -8     -1   +   -12   =   -13     1   +   12   =   13     2   +   6   =   8     3   +   4   =   7  

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Answer 2

Answer:

We can not find solution of this equation by splitting the middle term .