What number is used to complete the square for the equation x^2 + 5x = 0?
a) 6.25
b) 25
c) 10
d) 2.5
a
Yes!
To complete the square for the equation x^2 + 5x = 0, we need to add a term to both sides of the equation that will allow us to create a perfect square trinomial.
First, let's separate the linear term (5x) and the constant term (0).
We can rewrite the equation as x^2 + 5x + 0 = 0.
To complete the square, we need to take half of the coefficient of the linear term and square it.
Half of 5 is 2.5, and when squared, it is equal to 6.25.
Therefore, the number that is used to complete the square in this equation is 6.25.
Therefore, the correct answer is option a) 6.25.