1. Equations & Inequalities

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

Solve each equation. √(2√(7x+2)) = √(3x+2)

Solve each equation. 8(x-4)⁴-10(x-4)²=-3

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

Solve each equation. (√x)+2=√(4+7√x)

Solve each equation in Exercises 41–60 by making an appropriate substitution. (x - 5)² - 4(x - 5) - 21 = 0

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

Use the method described in Exercises 83–86, if applicable, and properties of absolute value to solve each equation or inequality. (Hint: Exercises 99 and 100 can be solved by inspection.) | x² + 5x + 5 | = 1

Solve each equation. (√x+2)-x = 2

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

Solve each equation. 6(x+2)⁴-11(x+2)²=-4

Write a quadratic equation in general form whose solution set is {- 3, 5}.

Solve each equation. (x-1)^2/3+(x-1)^1/3 -12 = 0

Solve each equation. See Examples 8 and 9. 2x^-2/5-x^-1/5-1=0

Solve each equation in Exercises 41–60 by making an appropriate substitution. ${(y-\frac{8}{y})}^2+5(y-\frac{8}{y})-14=0$