In algebra, letters are used when numbers are not known. Algebraic terms, such as \(2s\) or \(8y\), leave the multiplication signs out. So rather than \(2 \times s\), write \(2s\), and rather than \(8 ...

If the discriminant (b² - 4ac) is negative, the roots are complex numbers. Complex roots always come in conjugate pairs (a + ...

Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols. In elementary algebra, those symbols (today written as Latin and Greek letters) represent ...

Now, we know that I3 = I1 + I2, so V IN must be a nice linear function of V OUT and I1, namely: where F1 and F2 are functions of R1, R2, C1, and C2—and of frequency. We derived that equation just by ...

A popular humorist and avowed mathphobe once declared that in real life, there’s no such thing as algebra. Kathie Wilson knows better. Most of the students in her 8th grade class will be thrust into ...

Courtney Gibbons is affiliated with the Association for Women in Mathematics and the American Mathematical Society. You might remember learning about the quadratic formula to figure out the solutions ...

The field of algebraic geometry investigates the profound interplay between polynomial equations and geometric structures, providing a rich framework that unites abstract theory with practical ...