The Imaginary Number System: Is it Really Imaginary? ... Circa 1545, an Italian mathematician by the name of Girolamo Cardano, solved what seemed to be an impossible cubic equation. By solving this equation he further attributed to the acceptance of imaginary numbers. ... To solve for certain types of equations such as the square root of -7, a new number needed to be invented. ... This form helps one solve quadratic equations when the solution results in a negative square root. ...

• Word Count: 1237
• Approx Pages: 5
• Has Bibliography
• Grade Level: High School

Portfolio Solving Systems of Equations Systems with two variables: 1. ... Systems with three variables 1. ... Systems with N variables 1. ... Substitute the values for the variables into the equations to solve. ... Solve just as if you were solving for a system of equations. 5. ...

• Word Count: 853
• Approx Pages: 3
• Grade Level: High School

For example, in electrical engineering we find complex roots in circuit theory where the polynomial is part of the model equation for simple circuits. ... From the perspective of algebra, complex numbers give us a complete system for finding the roots of polynomials. ... They are used for approximating or curve fitting experimental data, solving different equations, calculating "beam deflection" for loading trucks, representing the properties of some gasses, defining functions used in Finite Element computation, defining CAD geometry in CAD (Computer Assisted Drawing) engineering and construct...

• Word Count: 502
• Approx Pages: 2
• Grade Level: Undergraduate

Computers, science, etc. all need some mathematical equation to make it possible. e has changed how society looks on banking. e has changed how we compute continuous compound interest. ... He also defined a curve, a "logarithmic" curve, but we call it the exponential curve, the equation is y=ka^x. ... He looked at the problem, examined continuous compound interest, and tried to solve the limit of (1+1/n)^n because n tends to infinity. ... Banks use the equations to figure out how much is gained be a set date or by a continuos interest rate. ... e has changed the world but not dramatically. ...

• Word Count: 711
• Approx Pages: 3
• Has Bibliography
• Grade Level: High School