1. Equations & Inequalities

Solve each equation in Exercises 47–64 by completing the square. $4x^2-4x-1=0$

Solve each equation in Exercises 47–64 by completing the square. 3x² - 5x - 10 = 0

Solve each equation in Exercises 65–74 using the quadratic formula. $4x^2=2x+7$

Solve each equation in Exercises 65–74 using the quadratic formula. x² - 6x + 10 = 0

In Exercises 75–82, compute the discriminant. Then determine the number and type of solutions for the given equation. $x^2-4x-5=0$

In Exercises 75–82, compute the discriminant. Then determine the number and type of solutions for the given equation. $2x^2-11x+3=0$

Solve each equation in Exercises 83–108 by the method of your choice. $5x^2+2=11x$

Solve each equation in Exercises 83–108 by the method of your choice. $3x^2=60$

Solve each equation in Exercises 83–108 by the method of your choice. $9-6x+x^2=0$

Solve each equation in Exercises 83–108 by the method of your choice. $4x^2-16=0$

Solve each equation in Exercises 83–108 by the method of your choice. x² - 4x + 29 = 0

Exercises 100–102 will help you prepare for the material covered in the next section. Factor: $x^2-6x+9$

Solve each equation in Exercises 83–108 by the method of your choice. 1/x + 1/(x + 3) = 1/4

Solve each equation in Exercises 83–108 by the method of your choice. 2x/(x - 3) + 6/(x + 3) = - 28/(x² - 9)

Solve each equation in Exercises 83–108 by the method of your choice. 3/(x - 3) + 5/(x - 4) = (x² - 20)/(x² - 7x + 12)