factor
... the variable in a standard form equation is called the solution, or the root, of the equation. Let’s discuss the Multiplication Property of Zero which states that if a = 0 or b = 0, then ab = 0. We can use the Zero-Product Property to solve quadratic equations once the quadratic expression has been ...
... the variable in a standard form equation is called the solution, or the root, of the equation. Let’s discuss the Multiplication Property of Zero which states that if a = 0 or b = 0, then ab = 0. We can use the Zero-Product Property to solve quadratic equations once the quadratic expression has been ...
§ 1-1 Functions
... Why are we interested in implicit differentiation? Why don’t we just solve for y in terms of x and differentiate directly? The answer is that there are many equations of the form F(x, y) = 0 that are either difficult or impossible to solve for y explicitly in terms of x, so to find y’ under these co ...
... Why are we interested in implicit differentiation? Why don’t we just solve for y in terms of x and differentiate directly? The answer is that there are many equations of the form F(x, y) = 0 that are either difficult or impossible to solve for y explicitly in terms of x, so to find y’ under these co ...
x - Faculty
... The General Equation of a Shifted Conic If we expand and simplify the equations of any of the shifted conics illustrated in Figures 1, 3, and 5, then we will always obtain an equation of the form Ax2 + Cy2 + Dx + Ey + F = 0 where A and C are not both 0. Conversely, if we begin with an equation of t ...
... The General Equation of a Shifted Conic If we expand and simplify the equations of any of the shifted conics illustrated in Figures 1, 3, and 5, then we will always obtain an equation of the form Ax2 + Cy2 + Dx + Ey + F = 0 where A and C are not both 0. Conversely, if we begin with an equation of t ...
Solutions - British Mathematical Olympiad
... There are several other examples leading to the same answer. Another useful approach may be to investigate what happens if you start with fewer symbols, but we should think carefully about the significance of the specific numbers 2014 and 2015. At this point we might think that we have solved the pr ...
... There are several other examples leading to the same answer. Another useful approach may be to investigate what happens if you start with fewer symbols, but we should think carefully about the significance of the specific numbers 2014 and 2015. At this point we might think that we have solved the pr ...
