By completing the square, solve the following equation.

x² - 11x + 1 = 0

By completing the square, solve the following equation.

x² - 20x = 7

For the following equation, complete the square to make a perfect square trinomial and factor.

z² - 5z

Solve the following equation by using your preferred method: 8x² - 3 = 10x

By using the quadratic formula, solve the following equation.

2x² - x - 11 = 0

Solve the following equation by using your preferred method: x² - 4x = 2

Solve the following equation by using your preferred method: 4x² - 2x = 6

Use any method to solve the given equation. \(\frac{1}{2x} + \frac{1}{(x -4)} = \frac{1}{2}\)

Write the equivalent interval notation for the given inequality.

-5< x ≤ 9

Find the solution set for the following inequality. Express the answer in interval notation. 1 - 3x + 9(x - 3) < - 1(x - 9)