Question

solve the quadratic equation :7n²-63n-160

Answer 1

     7n2-63n-160 
Final result :
7n2 - 63n - 160
Step by step solution :
Step  1  :
Equation at the end of step  1  :
(7n2 - 63n) - 160
Step  2  :
Trying to factor by splitting the middle term
 2.1     Factoring  7n2-63n-160 

The first term is,  7n2  its coefficient is  7 .
The middle term is,  -63n  its coefficient is  -63 .
The last term, "the constant", is  -160 

Step-1 : Multiply the coefficient of the first term by the constant   7 • -160 = -1120 

Step-2 : Find two factors of  -1120  whose sum equals the coefficient of the middle term, which is   -63 .

      -1120    +    1    =    -1119
      -560    +    2    =    -558
      -280    +    4    =    -276
      -224    +    5    =    -219
      -160    +    7    =    -153
      -140    +    8    =    -132

For tidiness, printing of 18 lines which failed to find two such factors, was suppressed

Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored

Final result :
7n2 - 63n - 160   
                    
  
Hope it is useful ......!!!!
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