### Home > CAAC > Chapter 12 > Lesson 12.4.2 > Problem 12-74

12-74.

Solve the equations and inequalities below. Write your solutions in exact form. Homework Help ✎

(

*b*− 4)^{2}< 12| 3 +

*x*| − 9 < 215

*n*^{2}− 11*n*+ 2 = 0

Multiply the equation by a common multiple of the denominators to get rid of the fraction.

9 − 4*x* = 21 − 3*x*

Solve for *x*.

−12 = *x*

Find the boundary points.

Take the square root of both sides.

Solve for *b*.

Test numbers on all sides of the boundary point or points.

Write an inequality to express your answer.

−33 ≤ *x* ≤ 27

Factor the equation.

Solve for *n*.