1. Equations & Inequalities

Find each product. Write answers in standard form. (1+3i)(2-5i)

Find each product. Write answers in standard form. (2+i)²

Find each product. Write answers in standard form. i(3-4i)(3+4i)

Find each product. Write answers in standard form. i(2+7i)(2-7i)

Find each product. Write answers in standard form. 3i(2-i)²

Find each quotient. Write answers in standard form. -5 / i

Find each quotient. Write answers in standard form. 8 / -i

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

Simplify each power of i. i²³

Simplify each power of i. i²⁷

Simplify each power of i. i^-13

Work each problem. Show that -2+i is a solution of the equation x²+4x+5=0.

Work each problem. Show that √2/2 + √2/2 i is a square root of i.

Work each problem. Show that -3+4i is a solution of the equation x²+6x+25=0.

Perform each operation. Write answers in standard form. (6-i) + (7-2i)