Question

Replace the blanks in the equation with constants to complete the square and form a true equation.

x² + 3/5x + ____ = (x ____ )²

Options:

A. 9/100, 3/10
B. 9/25, 3/5
C. 9/25, 3/10
D. 9/100, 3/5

Answer 1

To complete the square, the missing constants in the equation x² + 3/5x + ____ = (x ____ )² are 9/100 and x. The correct answer is A. 9/100, 3/10.

Step-by-step explanation:

To complete the square in the equation x² + 3/5x + ____ = (x ____ )², we need to find the missing constants. Let's start by taking half of the coefficient of the x term and squaring it. Half of 3/5 is 3/10, and when we square it, we get 9/100. This means that the first blank should be filled with 9/100. Next, we can also see that the square of x will give us x², so the second blank should be filled with x.

Therefore, the correct answer is A. 9/100, 3/10.