SOLUTION: can you explain this to me please solve by completing the squaqr root property. x^2 + 8x + 13 = 0 thank you julie

You can put this solution on YOUR website!
solve by completing the squaqr root property.
x^2 + 8x + 13 = 0
:
x^2 + 8x + ___ = -13; subtracted 13 from both sides
:
To complete the square, square half the coefficient of x, 4^2 = 16
x^2 + 8x + 16 = -13 + 16; added 16 to both sides
:
(x + 4)^2 = +3;
:
x + 4 = +/-; find the square root of both sides
:
x = -4 + ; subtract 4 from both sides
and
x = -4 -

You can put this solution on YOUR website!

Start with the given equation


Subtract 13 from both sides


Take half of the x coefficient 8 to get 4 (ie )
Now square 4 to get 16 (ie )



Add this result (16) to both sides. Now the expression is a perfect square trinomial.




Factor into (note: if you need help with factoring, check out this solver)



Combine like terms on the right side

Take the square root of both sides

Subtract 4 from both sides to isolate x.

So the expression breaks down to
or


So our answer is approximately
or

Here is visual proof

graph of


When we use the root finder feature on a calculator, we would find that the x-intercepts are and , so this verifies our answer.