Use the quadratic formula to find the solutions for
y = -x2 - 5x + 12

Changes made to your input should not affect the solution:

(1): "x2"   was replaced by   "x^2".  

STEP

1

:

STEP

2

:

Pulling out like terms

2.1     Pull out like factors :

  -x2 - 5x + 12  =   -1 • (x2 + 5x - 12)  

Trying to factor by splitting the middle term

2.2     Factoring  x2 + 5x - 12  

The first term is,  x2  its coefficient is  1 .

The middle term is,  +5x  its coefficient is  5 .

The last term, "the constant", is  -12  

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

Step-2 : Find two factors of  -12  whose sum equals the coefficient of the middle term, which is   5 .

     -12    +    1    =    -11  

     -6    +    2    =    -4  

     -4    +    3    =    -1  

     -3    +    4    =    1  

     -2    +    6    =    4  

     -1    +    12    =    11

Step-by-step explanation:

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2

the answer is b.)

< 1=< 2