1. Equations & Inequalities

Evaluate x² - 2x + 2 for x = 1 + i.

Find each quotient. Write answers in standard form. 2 / 3i

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

Perform the indicated operations and write the result in standard form. (7-i)(2+3i)

In Exercises 48–57, perform the indicated operations and write the result in standard form. 6/(5+i)

Find each product and write the result in standard form. - 3i(7i - 5)

Divide and express the result in standard form. - 6i/(3 + 2i)

Simplify and write the result in standard form. √-108

Write each power of i as i, - 1, - i, or 1.

i⁴⁴

Write each power of i as i, - 1, - i, or 1.

i¹¹⁴

Write each power of i as i, - 1, - i, or 1. i¹³⁵

Write each complex number in standard form. (1 - i)³

Find each product and write the result in standard form. (7 - 5i)(- 2 - 3i)

Find each product and write the result in standard form. (3 + 5i)(3 - 5i)

Find each product and write the result in standard form. (- 5 + i)(- 5 - i)