283,470 views
11 votes
11 votes
If using the method of completing the

square to solve the quadratic equation
2²+3x+37= 0, which number would
have to be added to "complete the
square"?

User Kico Lobo
by
3.1k points

1 Answer

21 votes
21 votes

Answer:

To solve a quadratic equation using the method of completing the square, we need to first write the equation in the form ax² + bx + c = 0, where a, b, and c are constants. In this case, the given equation is 2²+3x+37 = 0, which can be written as 4+3x+37 = 0.

To complete the square, we need to add a number to the constant term (in this case, 37) so that the coefficient of the x² term is a perfect square. In this case, the coefficient of the x² term is 4, which is already a perfect square. Therefore, we do not need to add any number to complete the square.

The correct answer is 0.

Explanation:

User TMann
by
2.7k points