195k views
0 votes
Complete the equation so that it has solutions of –5 and 7
x2 + __ x +__ = 0

1 Answer

1 vote

Final answer:

To complete the equation with solutions of -5 and 7, use the fact that solutions of a quadratic equation are values of x that make the equation equal to zero. The completed equation is x² + 2x - 35 = 0.

Step-by-step explanation:

To complete the equation with solutions of -5 and 7, we can use the fact that the solutions of a quadratic equation are the values of x that make the equation equal to zero. Let's call the missing terms a and b. Since the equation has solutions of -5 and 7, we know that (x + 5) and (x - 7) are factors of the equation.

Therefore, the completed equation is:

x² + 2x - 35 = 0

User Nhan Phan
by
8.6k points