1. Equations & Inequalities

Solve each equation in Exercises 15–34 by the square root property. $(x+3{)}^2=-16$

Solve each equation in Exercises 15–34 by the square root property. (2x + 8)² = 27

In Exercises 35–46, determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then write and factor the trinomial. $x^2+12x$

Solve each equation in Exercises 47–64 by completing the square. $x^2+6x=7$

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

Solve each equation in Exercises 47–64 by completing the square. $x^2-6x-11=0$

Solve each equation in Exercises 47–64 by completing the square. $2x^2-7x+3=0$

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. $3x^2=60$