Question

WILL GIVE MEDAL AND POTENTIALLY PAY!!!
A quadratic equation is shown below:

x2 − 8x + 13 = 0

Which of the following is the first correct step to write the above equation in the form (x − p)2 = q, where p and q are integers?

Answer 1

This technique is called COMPLETING THE SQUARE

If I write the equation in the form ax^2 + bx + c
First, divide b in half
(In this case, (-8)/2 = (-4))

This gives you - p
(x -4))^2

Solve the above (x - b/2)
(In this case, x^2 - 8x +16)

You need to subtract 3 to get the real expression, so
(x-4)^2 - 3

Now, to get it into the right format, just move the negative 3...
(x-4)^2 = 3

Done!
P = -4
Q = 3

Answer 2

* P = 4

Answer 3

these are my choices

Which of the following is the first correct step to write the above equation in the form (x − p)2 = q, where p and q are integers?

Subtract 5 from both sides of the equation
Subtract 3 from both sides of the equation
Add 5 to both sides of the equation
Add 3 to both sides of the equation

Answer 4

@livias.random

Answer 5

Ugh. I did all that work for nothing? Whatever
Anyways... add 3?

Answer 6

thanks

Answer 7

are you sure its add 3 and not subtract 3? @livias.random