1. Equations & Inequalities

Solve each radical equation in Exercises 11–30. Check all proposed solutions. √(2x + 3) + √(x - 2) = 2

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

Determine the number and type of solutions of the given quadratic equation. Do not solve. 

$x^2+8x+16=0$

In Exercises 91–100, find all values of x satisfying the given conditions. $y = x - \(\sqrt{x - 2}\) \(\quad\) \(\text{and}\) \(\quad\) y = 4$

In Exercises 91–100, find all values of x satisfying the given conditions.$y_1 = 6 \(\left\)( \(\frac{2x}{x - 3}\) \(\right\))^2, \(\quad\) y_2 = 5 \(\left\)( \(\frac{2x}{x - 3}\) \(\right\)), \(\quad\) \(\text{and}\) \(\quad\) y_1 \(\text{ exceeds }\) y_2 \(\text{ by }\) 6.$

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

In Exercises 101–106, solve each equation.$x(x+1{)}^3-42(x+1{)}^2=0$