The complete equation is x^2 + 13x + 169/4 = 157/4
The equation is given as:
x^2 + 13x = -3
Let the coefficient of x be represented with k.
So, we have:
k = 13
Divide both sides
k/2 = 13/2
Square both sides
(k/2)^2 = 169/4
Add 169/4 to both sides of the equation
x^2 + 13x + 169/4 = -3 + 169/4
Evaluate the sum
x^2 + 13x + 169/4 = 157/4
Hence, the complete equation is x^2 + 13x + 169/4 = 157/4
Read more about completing the square at:
https://brainly.com/question/16483306
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