### Home > INT3 > Chapter 8 > Lesson 8.1.3 > Problem8-49

8-49.
1. Consider the quadratic equation x2 – 10x = –29. Homework Help ✎

1. Is x = 5 + 2i a solution to the equation? How can you be sure without solving?

2. Without solving, predict another solution to the equation. Verify your prediction by checking it.

3. Where does the parabola y = x2 – 10x + 29 intersect the x-axis? Explain.

Substitute the solution into the equation.

$(5 + 2i)^2 - 10(5 + 2i) = -29$

Any quadratic equation can be solved using the Quadratic Formula. The "i" part of the solution comes from a negative number inside of the square root. What is in front the the square root in the Quadratic Formula?

Let y = 0 and solve.