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

8-49.

Consider the quadratic equation

*x*^{2}– 10*x*= –29. Homework Help ✎Is

*x*= 5 + 2*i*a solution to the equation? How can you be sure without solving?Without solving, predict another solution to the equation. Verify your prediction by checking it.

Where does the parabola

*y*=*x*^{2}– 10*x*+ 29 intersect the*x*-axis? Explain.

Substitute the solution into the equation.

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.