Survey

* Your assessment is very important for improving the work of artificial intelligence, which forms the content of this project

Survey

Transcript

Precalculus Section 1.5 Perform basic operations with complex numbers The basic imaginary unit is i. i= i2 = -1 A complex number is any number that can be written in the form a + bi, where a and b are real numbers a is the real part and bi is the imaginary part. Italian mathematician Gerolamo Cardano is the first known to have conceived complex numbers; he called them "fictitious", during his attempts to find solutions to cubic equations in the 16th century. Complex numbers are used in physics, electronics. Computers can create art called fractals using complex numbers. Complex numbers • Simplify -2 Simplify • ( 2 + 3i) + (4 – 5i) • (9 – 6i) – (3 – 7i) • (2 + 5i)(6 – i) • 5 – 2i 4 + 3i Powers of i i1 = i i2 = -1 i3 = -i i4 = 1 Simplify i27 i32 assignment • Page 28 • Problems 1 – 34 not ÷ 3 (40 ec)