Question

Complete the equivalent equation for –7x – 60 = x2 + 10x.

Answer 1

Answer:

ther are two solutions

1. x = -5

2. x = -12

Step-by-step explanation:

-60     +     -1     =     -61  

      -30     +     -2     =     -32  

      -20     +     -3     =     -23  

      -15     +     -4     =     -19  

      -12     +     -5     =     -17  

      -10     +     -6     =     -16  

      -6     +     -10     =     -16  

      -5     +     -12     =     -17  

      -4     +     -15     =     -19  

      -3     +     -20     =     -23  

      -2     +     -30     =     -32  

      -1     +     -60     =     -61  

      1     +     60     =     61  

      2     +     30     =     32  

      3     +     20     =     23  

      4     +     15     =     19  

      5     +     12     =     17  

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  5  and  12

                    x2 + 5x + 12x + 60

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (x+5)

             Add up the last 2 terms, pulling out common factors :

                   12 • (x+5)

Step-5 : Add up the four terms of step 4 :

                   (x+12)  •  (x+5)

            Which is the desired factorization

the two solutions are:

x =(-17+√49)/2=(-17+7)/2= -5.000

or:

x =(-17-√49)/2=(-17-7)/2= -12.000

Answer 2

Answer:

x= -5, -12

Step-by-step explanation: