PLEASE HELP! 20 POINTS! Rewrite x2 - 8x + 13 = 0 in the form (X - a)2= b, where a and b are integers, to determine the a and b values. O a = 4 and b = 3
O a = 3 and b = 2
O a = 2 and b = 1
a = 1 and b = 4

If we start with

(

x

−

4

)

(

x

−

4

)

this gives us:

x

2

−

8

x

+

16

So we have now achieved the correct value of

−

8

x

but the constant is wrong.

So we now need to change the 16 to give us the constant of 13. This can be achieved by subtracting 3

(

x

−

4

)

(

x

−

4

)

−

3

But the right hand side is 0 so we write:

(

x

−

4

)

(

x

−

4

)

−

3

=

0

Add 3 to both sides

(

x

−

4

)

(

x

−

4

)

=

3

(

x

−

4

)

2

=

3

matching the target format

this is your answer (ʘᴗʘ✿)