Intermediate Algebra (11th edition)

The right side of each equation can be expressed as follows. or or or The result is the quadratic formula,which is abbreviated a ...

NOTE We could have used factoring to solve the equation in Example 1. Factor. or Zero-factor property or Solve each equation. or ...

Using the Quadratic Formula (Nonreal Complex Solutions) Solve Multiply. Standard form Add 8. From the equation we identify and. ...

Calculating the discriminant can also help you decide how to solve a quadratic equation. If the discriminant is a perfect square ...

Using the Discriminant Find kso that will have exactly one rational solution. The equation will have only one rational solution ...

Use the quadratic formula to solve each equation. (All solutions for these equations are real numbers.) See Examples 1 and 2. ...

512 CHAPTER 9 Quadratic Equations, Inequalities, and Functions Solve each equation. See Section 2.1. Solve each equation ...

Solving a Motion Problem A riverboat for tourists averages 12 mph in still water. It takes the boat 1 hr, 4 min to go 6 mi upstr ...

Solving a Work Problem It takes two carpet layers 4 hr to carpet a room. If each worked alone, one of them could do the job in 1 ...

Step 5 State the answer.Only the solution 8.5 makes sense in the original problem, because if then which cannot represent the ti ...

OBJECTIVE 4 Solve an equation that is quadratic in form by substitution. A nonquadratic equation that can be written in the form ...

(b) Let Standard form Factor. or Zero-factor property or Solve. or Substitute for u. or Square root property Check that the solu ...

518 CHAPTER 9 Quadratic Equations, Inequalities, and Functions Solving an Equation That Is Quadratic in Form by Substitution Ste ...

SECTION 9.3 Equations Quadratic in Form 519 CAUTION A common error when solving problems like those in Examples 6 and 7is to sto ...

Concept Check Answer each question. 25.A boat goes 20 mph in still water, and the rate of the current is tmph. (a)What is the ra ...

33.Rusty and Nancy Brauner are planting flats of spring flowers. Working alone, Rusty would take 2 hr longer than Nancy to plant ...

522 CHAPTER 9 Quadratic Equations, Inequalities, and Functions SUMMARY EXERCISES on Solving Quadratic Equations We have introduc ...

SECTION 9.4 Formulas and Further Applications 523 2 a# 2 a=a 2 a# 2 b= 2 ab; OBJECTIVES Formulas and Further Applications 9.4 1 ...

To solve use the quadratic formula with and Substitute. Solve for t. The solutions are and NOW TRY OBJECTIVE 2 Solve applied pro ...

OBJECTIVE 3 Solve applied problems using area formulas. Solving an Area Problem A rectangular reflecting pool in a park is 20 ft ...