Solve each equation in Exercises 96–102 by the method of your choice. 2√(x-1) = x

Perform the indicated operations and write the result in standard form. 8/(1 + 2/i)

Solve each equation in Exercises 83–108 by the method of your choice. $4x^2-16=0$

Evaluate x² - (xy - y) for x satisfying 3(x + 3)/5 = 2x + 6 and y satisfying - 2y - 10 = 5y + 18.

In Exercises 91–100, find all values of x satisfying the given conditions. $y = (x - 5)^{\frac{3}{2}} \quad \text{and} \quad y = 125$

Use interval notation to represent all values of x satisfying the given conditions. y = 2x - 11 + 3(x + 2) and y is at most 0

In Exercises 95–99, perform the indicated operations and write the result in standard form. (i⁸⁵ - i⁸³)/i⁴⁵

Solve each equation in Exercises 96–102 by the method of your choice. x^3 + 2x^2 = 9x + 18

Solve each equation in Exercises 83–108 by the method of your choice. $x^2-6x+13=0$

In Exercises 99–106, solve each equation. [(3 + 6)² ÷ 3] × 4 = - 54 x

Perform the indicated operations and write the result in standard form. (i⁹⁸ - i⁹⁴)/i⁴⁹

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

Use interval notation to represent all values of x satisfying the given conditions. y = |2x - 5| + 1 and y > 9

Solve each equation in Exercises 83–108 by the method of your choice. x² - 4x + 29 = 0

In Exercises 101–106, solve each equation. $\mid \sqrt{x}-5\mid =2$

Exercises 100–102 will help you prepare for the material covered in the next section. Factor: $x^2-6x+9$

Solve each equation in Exercises 83–108 by the method of your choice. $x^2=4x-7$

Solve each equation. 5 - 12x = 8 - 7x - [6 ÷ 3(2 + 5³) + 5x]

Solve each equation in Exercises 96–102 by the method of your choice. -4|x+1| + 12 = 0

Use interval notation to represent all values of x satisfying the given conditions. y = 8 - |5x + 3| and y is at least 6

In Exercises 101–106, solve each equation. $\mid x^2+2x-36\mid =12$

Solve each equation in Exercises 83–108 by the method of your choice. $2x^2-7x=0$

In Exercises 99–106, solve each equation. 0.7x + 0.4(20) = 0.5(x + 20)

Use the graph of y = |4 - x| to solve each inequality.

|4 - x| ≥ 5

In Exercises 104–106, express each interval in set-builder notation and graph the interval on a number line. (-2, ∞)

Solve each equation in Exercises 83–108 by the method of your choice. 1/x + 1/(x + 2) = 1/3

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

Solve each equation. 4x + 13 - {2x - [4(x - 3) - 5]} = 2(x - 6)

Solve each equation in Exercises 83–108 by the method of your choice. 1/x + 1/(x + 3) = 1/4

Use the table to solve each inequality. - 3 < 2x - 5 ≤ 3