Question

Find the negative root of x-2x-5=0.

Answer 1

Answer:

Explanation:

STEP

1

:

Trying to factor by splitting the middle term

1.1     Factoring  x2-2x+5  

The first term is,  x2  its coefficient is  1 .

The middle term is,  -2x  its coefficient is  -2 .

The last term, "the constant", is  +5  

Step-1 : Multiply the coefficient of the first term by the constant   1 • 5 = 5  

Step-2 : Find two factors of  5  whose sum equals the coefficient of the middle term, which is   -2 .

     -5    +    -1    =    -6  

     -1    +    -5    =    -6  

     1    +    5    =    6  

     5    +    1    =    6  

Observation : No two such factors can be found !!