1) If the discriminant is less than zero, the equation has two complex solution(s). 2) If the discriminant is equal to zero, the equation has one repeated real solution(s). 3) If the discriminant is greater than zero, the equation has. two distinct real. solution(s).

In Algebra 1, you found that certain quadratic equations had negative square roots in their solutions. When this occurs, the equation has no roots (or zeros) in the set of real numbers. The roots belong to the set of complex numbers, and will be called “complex roots” (or “imaginary roots”).

A complex number is expressed in standard form when written a + bi where a is the real part and bi is the imaginary part. For example, 5+2i 5 + 2 i is a complex number. So, too, is 3+4i√3 3 + 4 i 3 ….Complex Numbers.

Every real number is a complex number, but every complex number is not necessarily a real number. The set of all complex numbers is denoted by Z ∈ C Z /in /mathbb C Z∈C. The set of all imaginary numbers is denoted as Z ∈ C − R Z /in /mathbb C – /mathbb R Z∈C−R.

The standard symbol for the set of all complex numbers is C, and we’ll also refer to the complex plane as C. We’ll try to use x and y for real variables, and z and w for complex variables.

Brahmagupta

Without zero, modern electronics wouldn’t exist. Without zero, there’s no calculus, which means no modern engineering or automation. Without zero, much of our modern world literally falls apart.

In Mayan mathematics, zero is supposed to be, in some sense, equal to infinity. In terms of logarithms, the original value 0 corresponds to −∞, while the original infinite value corresponds to +∞.

Carl Friedrich Gauss one of the greatest mathematicians, is said to have claimed: “Mathematics is the queen of the sciences and number theory is the queen of mathematics.” The properties of primes play a crucial part in number theory. An intriguing question is how they are distributed among the other integers.

Here are some of the most famous women mathematicians.

• Ada Lovelace (1815-1852)
• Sofia Kovalevskaya (1850-1891)
• Emmy Noether (1882-1935)
• Dorothy Vaughan (1910-2008)
• Katherine Johnson (born 1918)
• Julia Robinson (1919-1985)
• Mary Jackson (1921-2005)
• Maryam Mirzakhani (1977-2017)

Marie Curie

Mayans