### Home > CCA > Chapter 11 > Lesson 11.3.3 > Problem 11-101

11-101.

Determine the number of solutions for each of the quadratics below. Note: You do not need to solve the quadratics. Homework Help ✎

(

*x*− 5)^{2}= −6312

*x*^{2}+ 514*x*+ 181 = 0(

*x*+ 3)^{2}− 10 = 04

*x*^{2}+ 49 = 28*x*

Can any real number be squared to get a negative number? Is there any real value for *x* that will make the equation true?

Try using the Quadratic Formula.

Two solutions.

Add 10 to both sides.

Change the quadratic into perfect square form.