### Home > GC > Chapter 12 > Lesson 12.2.1 > Problem 12-60

12-60.

For each equation below, decide if the equation has any real number for the given variable. For each problem, explain how you know. Homework Help ✎

4(

*x −*3) = 11*x*^{2}= −103

*x*^{2}− 18 = 0−7 = |

*x −*6 |

Solve for x.

Is your solution a real number?

Is it possible for the square or absolute value of a number to be negative?

No real solution, *x*² must be positive or zero.

Refer to part (a) for help.

Refer to part (b) for help.