Question

which equation has the same solution as x^2-6x-14
A. (x+3) ^2= 23
B. (x-3)^2=23
C.(x+3)^2= 23
D. (x-3)^2=23

Answer 1

x^2-6x-14 does not have any like terms, also a and c are the same answers and same with b and d

Answer 2

So,

First, notice that all of the answer options are in completed square form.  So all we have to do is complete the square for the initial equation and see which equation it matches.

$x^2-6x-14=0$

Isolate the constant term.
$x^2-6x=14$

Add the necessary amount to both sides (halve the x term and square it).
$x^2-6x+9=23$

Factor the completed square.
$(x-3)^2=23$

This equation is identical to the equation in option B.

The correct answer is B.