Question

Let ​x2+13x=−3​ .

Answer 1

The complete equation is x^2 + 13x + 169/4 = 157/4

How to determine the number that completes the square?

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:

brainly.com/question/16483306

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