a quadratic equation question?

Dear Serena_morris70:

I found this out looking the equation up on: http://www.jamesbrennan.org/algebra/quadratics/quadratic_definitions.htm

ax2 + bx + c = 0

a, b, c are constants (generally integers)

Roots

Synonyms: Solutions or Zeros

Can have 0, 1, or 2 real roots

Consider the graph of quadratic equations. The quadratic equation looks like ax2 + bx + c = 0, but if we take the quadratic expression on the left and set it equal to y, we will have a function:

y = ax2 + bx + c

When we graph y vs. x, we find that we get a curve called a parabola. The specific values of a, b, and c control where the curve is relative to the origin (left, right, up, or down), and how rapidly it spreads out. Also, if a is negative then the parabola will be upside-down. What does this have to do with finding the solutions to our original quadratic equation? Well, whenever y = 0 then the equation y = ax2 + bx + c is the same as our original equation.

Graphically, y is zero whenever the curve crosses the x-axis. Thus, the solutions to the original quadratic equation (ax2 + bx + c = 0) are the values of x where the function (y = ax2 + bx + c) crosses the x-axis. From the figures below, you can see that it can cross the x-axis once, twice, or not at all.

Actually, if you have a graphing calculator this technique can be used to find solutions to any equation, not just quadratics. All you need to do is

Move all the terms to one side, so that it is equal to zero

Set the resulting expression equal to y (in place of zero)

Enter the function into your calculator and graph it

Look for places where the graph crosses the x-axis

Your graphing calculator most likely has a function that will automatically find these intercepts and give you the x-values with great precision. Of course, no matter how many decimal places you have it is still just an approximation of the exact solution. In real life, though, a close approximation is often good enough. Here’s another website to do the actual graphing: http://math.hws.edu/javamath/basic_applets/SliderGraph.html. I hope this helped!

Sincerely,

[email protected]

One uncomplicated term that seems many times is “equations.” for many, this could be a buzz be conscious it incredibly is recognizable as a math term yet incredibly expertise the term could sometime get away human beings. the two maximum uncomplicated equations are linear equations and quadratic equations yet, of direction, basically giving an equation a popularity would not inevitably clarify what it is. So, a clearer definition of what precisely the two maximum uncomplicated equations – linear and quadratic equations – is needed. A linear equation refers to a definite equation it incredibly is graphed on a immediately line. additionally, a linear equation possesses on the line one variable it incredibly is in many cases talked approximately as “X” and “X” will continuously be of a level it incredibly is a million at maximum. (it incredibly is, there are no exponents; yet once you’re finding for exponents then wait and notice because of the fact we can get to them shortly!) a uncomplicated occasion of a linear equation could be 1x + 2 = 3. needless to say, x could equivalent a million in this actual occasion and it is located out by using basically applying somewhat algebra on the equation to make your concepts up X. 3 minus 2 equals a million. consequently, X could desire to equivalent one as a million x a million equals one. And, nope, not all linear equations are that trouble-free as they arrive as complicated as 6(x + 3) = 24 (x +0), however the uncomplicated ingredient of isolating x to discover the respond would not replace. A quadratic equation is in basic terms distinctive from a linear equation in one know: a variety of of of the figures is squared. (The be conscious quadratic derives from the Latin be conscious for squared) the uncomplicated style of a quadratic equation is ax2 + bx + c = 11. In the style of equation, if a = a million, b = 2 and c = 3 then X could desire to equivalent 2. all of us be conscious of this because of the fact 2 squared is 4 and four x a million = 4. 2 x 2 = 4. As with a linear equation, there could be greater complicated variations of a quadratic equation yet in basic terms with the easy and complicated linear equations undemanding algebraic operations can yield the ideal answer.

I do not get your question really, do you have the equation?

the c is where your curve cuts the y axis. If you can factor, factor and the roots are where it cuts the x-axis. You will have a lowest or highest points at x = -b/2a, y = (4ac-b^2)/4a

negative would mean loss of revenue.