can ANYBODY please help me with quadratic equations?

Question

ok, so what exactly is a quadratic equation? i mean, what is its purpose,what does it help figure out, Does it have something to do with parabolas? i am so confused! isn't this a quadratic equation ax (squared) + bx + c=0? and then is it true that that equation finds a parabola when (a) does not equal 0? And your supposed to use the quadratic formula to find x when ax(squared) + bx+ c=0, right? But then i get confused because i heard the y=x(squared) and y=ax(squared) are quadratic equations, is that true? if so, then what the heck! what does that mean?!! please explain this entire quadratic equation mess!

Answer 1

Quadratic EQUATIONS are any function with the highest power being 2. (And yes, they are generally parabolas.)

So, ax^2 + bx + c is a quadratic equation, as well as y = ax^2 and x = ay^2.

The QUADRATIC FORMULA is a method to find the roots of a quadratic equation.

Answer 2

A quadratic equation is an equation that ha x raised to the power of 2 and contains no term with an exponent >2.
Examples of quadratic equations are y=x^2 , y = 5x^2,
y=6x^2 +7 , y=4x^2+5x , y= 2x^2 +3x +1.

Examples of non-quadratic equations
y= 4x [Does not contain an x^2 term]
y = x^3 +x^2+1 [Contains term with exponent > 2].

Quadratic equations when graphed take the shape of a parabola. The general form is y = ax^2 +bx +c. If a were 0, there would be no x^2 term and thus it would no longer be a quadratic equation. But it is quite OK for either b or c or both b and c to be 0 and you still have a quadratic equation because it still contains the x^2 term.

Quadratic equations occur frequently. For example the trajectory of an object hurled into the air at an angle will follow the trajectory of a parabola. Parabolic reflectors are used in flashlights and in reflecting telescopes to focus the light rays in a tight beam.

Answer 3

A quadratic equation is one which has the highest power of 2.
For example: x^2 + y^2 + 4 = 16
This is a cubic equation, not a quadratic: x^3 + y^2 +2 = 34
ax(squared) + bx+ c is the general form of a quadratic equation.
On a graph quadratic equations draw parabolas which are U shaped. A typical parabola is y = x^2.
In the general quadratic equation ax(squared) + bx+ c - a, b and c can be any numbers.
For example in 4x(squared) + 3x - 2,
a = 4, b = 3 and c = -2
Hope this helps

Answer 4

I'm not sure if this is what you are talking about but here goes...

I've heard of the quadratic formula which is also known as the quadratic equation. It is x=-b plus and minus (when simplifying, you add and subtract it, which will give you 2 answers.) the square root of b(squared) 4 ac all over 2a (to see the formula, check out the site below). Where a=the coefficient for the squared term, b= the coefficient of the term with the variable raised to the first power, and c= the term that is only a number. NOTE: for this to work, your equation MUST be set to zero.
Here's an example:
5x(squared) + 2x + 4=0
In this case, a=5, b=2, and c=4

That's all I remember, from my algebra 2 class so I'm including a site that should fill in the rest of the blanks.
http://www.purplemath.com/modules/quadform.htm

Good luck!

Answer 5

You are spending too much time going round in circles and becoming agitated.
I would suggest that you concentrate solely on questions as and when they arise. Don`t become bogged down with words.
Example
x² - 5x + 6 = 0 is a quadratic equation
This factorises as follows:-
(x - 3).(x - 2) = 0
x = 3, x = 2
A quadratic equation has been solved!

The same equation could have been solved by using the formula
x = [- b ± √(b² - 4ac] ∕ 2 a
wher a = 1, b = - 5, c = 6
x = [5 ± √(25 - 24] / 2
x = [5 ± 1] / 2
x = 6/2,x = 4/2
x = 3 , x = 2 (as obtained above)

Hope these examples help but I would repeat don`t go off in different directions. Concentrate on the question as given and don`t panic!
Good luck.

Answer 6

First answer: X=449 X=-471 2d: X=-38.8 X=36.4 No gaurantees nevertheless, that is been awhile on the grounds that I whent by way of center a million-4... BTW, Quadratic formulation is troublesome to describe without a sq. root image, Google it, because it could be close to impossible to coach w/o a sq. root image. In textual content textile, that is: -b/2a +/- sq. root of (b^2 -4(a)(c)) then divided via 2a a is the x^2 term, b is the x term, and c is the consistent. you will desire to the two get 0, a million, or 2 solutions, 2 whether it quite is below/above the max/min factor, a million if that's the max/min factor, or 0 if the factor would not exist in the equation, in whoch case, your answer could be Unsolvable.

Answer 7

http://en.wikipedia.org/wiki/Quadratic_equation

Answer 8

wow. try paying attention in class.