In Exercises 61–76, solve each absolute value equation or indicate that the equation has no solution. |2x - 1| = 5

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

In Exercises 61–66, find all values of x satisfying the given conditions. y₁ = 5/(x + 4), y₂ = 3/(x + 3), y₃ = (12x + 19)/(x² + 7x + 12). and y₁ + y₂ = y₃.

Perform the indicated operation(s) and write the result in standard form. (8 + 9i)(2 - i) - (1 - i)(1 + i)

Find all values of x satisfying the given conditions. y₁ = (2x - 1)/(x² + 2x - 8), y₂ = 2/(x + 4), y₃ = 1/(x - 2), and y₁ + y₂ = y₃.

In Exercises 61–76, solve each absolute value equation or indicate that the equation has no solution. 2|3x - 2| = 14

In Exercises 65–70, perform the indicated operation(s) and write the result in standard form. (2 + i)² - (3 - i)²

Solve each equation by completing the square. $3x^2-12x+11=0$

Solve each equation in Exercises 65–74 using the quadratic formula. x² + 5x + 3 = 0

Solve each absolute value inequality. |3(x - 1)/4| < 6

In Exercises 65–70, perform the indicated operation(s) and write the result in standard form. (4 - i)² - (1 + 2i)²

In Exercises 67–70, find all values of x such that y = 0.

y = 2[3x - (4x - 6)] - 5(x - 6)

Solve each equation in Exercises 65–74 using the quadratic formula. $3x^2-3x-4=0$

In Exercises 65–70, perform the indicated operation(s) and write the result in standard form. 5√-16 + 3√-81

In Exercises 67–70, find all values of x such that y = 0. $y = \frac{x + 6}{3x - 12} - \frac{5}{x - 4} - \frac{2}{3}$

In Exercises 59–94, solve each absolute value inequality. |x| > 3

In Exercises 61–76, solve each absolute value equation or indicate that the equation has no solution. 7|5x| + 2 = 16

Determine whether each statement makes sense or does not make sense, and explain your reasoning. I used the ordered pairs (- 2, 2), (0, 0), and (2, 2) to graph a straight line.

Solve each equation using the quadratic formula. $2x^2=3-4x$

Find all values of x such that y = 0. y = 1/(5x + 5) - 3/(x + 1) + 7/5

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

In Exercises 61–76, solve each absolute value equation or indicate that the equation has no solution. 2|4 - (5/2)x| + 6 = 18

Evaluate x² - 2x + 2 for x = 1 + i.

In Exercises 59–94, solve each absolute value inequality. |x - 1| ≥ 2

In Exercises 71–78, solve each equation. Then determine whether the equation is an identity, a conditional equation, or an inconsistent equation. 5x + 9 = 9(x + 1) - 4x

Without solving the given quadratic equation, determine the number and type of solutions. $9x^2=2-3x$

In Exercises 71–78, solve each equation. Then determine whether the equation is an identity, a conditional equation, or an inconsistent equation. 4x + 7 = 7(x + 1) - 3x

Evaluate (x² + 19)/(2 - x) for x = 3i.

In Exercises 59–94, solve each absolute value inequality. |3x - 8| > 7

Exercises 73–75 will help you prepare for the material covered in the next section. Multiply: (7 - 3x)(- 2 - 5x)