1. Equations & Inequalities

Solve each equation in Exercises 83–108 by the method of your choice. $3x^2-12x+12=0$

When the sum of 6 and twice a positive number is subtracted from the square of the number, 0 results. Find the number.

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

Solve each equation in Exercises 1 - 14 by factoring. $6x^2+11x-10=0$

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

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. (8x - 3)² = 5

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

Solve each equation in Exercises 1 - 14 by factoring. $3x^2-2x=8$

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

Solve each equation in Exercises 15–34 by the square root property. $5x^2=45$

Solve each equation in Exercises 15–34 by the square root property. (4x - 1)² = 16

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

Solve the given equation by factoring. $2x^2+7x+6=0$

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