Answer:The correct answer among the choices given is option 2.
Completing the square is done as follows:
1. Write the equation in a way that the constants are in the right side while the terms with x are on the left.
5x^2 + 27x + 13x = 14
5x^2 + 40x = 14
2. Make sure that the coefficient of the x^2 term is 1.
5(x^2 + 8x) = 14
3. Adding a term to both sides that will complete the square in the left side. This is done by dividing the coefficient of the x term by 2 and squaring it. Note: The same amount should be added to the right side to balance the equation.
5(x^2 + 8x + 16) = 14 + 80
5(x+4)^2=94
Step-by-step explanation:
The correct step is 5x2 + 40x = 14.
Completing the square is a method that is used for converting a quadratic expression of the form ax^2 + bx + c to the vertex form a(x - h)2 + k.
The most common application of completing the square is in solving a quadratic equation. This can be done by rearranging the expression obtained after completing the square: a(x + m)^2 + n, such that the left side is a perfect square trinomial. Completing the square method is useful in:
Given:
5x^2 + 27x = 14 - 13x
5x^2 + 27x + 13x = 14
5x^2 + 40x = 14
5(x^2 + 8x) = 14
Now,
Adding a term to both sides that will complete the square in the left side.
by dividing the coefficient of the x term by 2 and squaring it.
5(x^2 + 8x + 16) = 14 + 80
5(x+4)^2=94
Learn more about completing square method here:
https://brainly.com/question/26107616
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