1. Equations & Inequalities

Solve each equation.√(2x+5)-√(x+2)=1

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

$x^2-6x=5$

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. (2x + 8)² = 27

Solve each radical equation in Exercises 11–30. Check all proposed solutions. $\(\sqrt{2x + 19}\) - 8 = x$

Solve each equation. x^2/3 = 2x^1/3

Solve each equation. x - √(2x+3) = 0

Solve each equation. √2x-x+4=0

Solve each equation. √3x=√(5x+1)-1

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

Solve each equation. (x+5)^2/3+(x+5)^1/3-20=0

Solve each equation. √2x=√(3x+12)-2

Solve each radical equation in Exercises 11–30. Check all proposed solutions. √(x + 3) = x - 3

Solve each equation. 2x⁴-7x²+5=0