1. Equations & Inequalities

Choose and apply the best method to solve the given quadratic equation.

$x^2-6x=5$

Choose and apply the best method to solve the given quadratic equation. 

$4x^2+16x+12=0$

Solve each equation in Exercises 1 - 14 by factoring. $2x(x-3)=5x^2-7x$

Solve each equation in Exercises 1 - 14 by factoring. 10x - 1 = (2x + 1)²

Solve each equation in Exercises 15–34 by the square root property. (x + 2)² = 25

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

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. $2x^2-7x+3=0$

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

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

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. $9-6x+x^2=0$

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. 3/(x - 3) + 5/(x - 4) = (x² - 20)/(x² - 7x + 12)