Question

Which of the following is a solution of x^2-8x=-27

Answer 1

Answer:

Simplifying

x2 + 8x = -27

Reorder the terms:

8x + x2 = -27

Solving

8x + x2 = -27

Solving for variable 'x'.

Reorder the terms:

27 + 8x + x2 = -27 + 27

Combine like terms: -27 + 27 = 0

27 + 8x + x2 = 0

Step-by-step explanation:

Answer 2

Answer:

Step-by-step  Factoring  x2-8x+27  

The first term is,  x2  its coefficient is  1 .

The middle term is,  -8x  its coefficient is  -8 .

The last term, "the constant", is  +27  

Step-1 : Multiply the coefficient of the first term by the constant   1 • 27 = 27  

Step-2 : Find two factors of  27  whose sum equals the coefficient of the middle term, which is   -8 .

     

-27

  +    

-1

  =    

-28

     

-9

  +    

-3

  =    

-12

     

-3

  +    

-9

  =    

-12

     

-1

  +    

-27

  =    

-28

     

1

  +    

27

  =    

28

     

3

  +    

9

  =    

12

     

9

  +    

3

  =    

12

     

27

  +    

1

  =    

28