Question

What is the next step in solving 0 = x2 + 6x – 10 by completing the square, after you cut 6 in half?

Answer 1

Answer:

see below

Step-by-step explanation:

0 = x^2 + 6x – 10

Add 10 to each side

10 = x^2-6x

Take the coefficient of x

-6

Divide by 2

-6/2 =-3

Square it

(-3)^2 =9

Add 9 to each side

10+9 = x^2-6x+9

We use -3 for the square term

19 = (x-3)^2

Take the square root of each side

±sqrt(19) = x-3

Add 3 to each side

3±sqrt(19) = x

Answer 2

Answer:

Step-by-step explanation:

0 = x^2 + 6x – 10

Add 10  

10 = x^2-6x

 -6

Divide by 2

-6/2 =-3

Square it

(-3)^2 =9

 10+9 = x^2-6x+9

-3 for the square ter

19 = (x-3)^2

 (19) = x-3

Add 3 to each side  3to(19) = x