1. Equations & Inequalities

Solve each equation in Exercises 83–108 by the method of your choice. $x^2-2x=1$

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

Solve each equation in Exercises 65–74 using the quadratic formula. $x^2+8x+15=0$

When the sum of 1 and twice a negative number is subtracted from twice the square of the number, 0 results. Find the number.

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

Solve each equation in Exercises 15–34 by the square root property. 3x² - 1 = 47

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 47–64 by completing the square. $2x^2-7x+3=0$

Solve each equation in Exercises 83–108 by the method of your choice. (2x - 5)(x + 1) = 2

Solve each equation in Exercises 83–108 by the method of your choice. x² - 4x + 29 = 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 58–59 by factoring. 2x^2 +15x = 8

Solve each equation by the square root property. $\frac{x^2}{2}+5=-3$