what is the quadratic equation?

Answer 1

ax^2+bc+c where a, b, c are constants

Answer 2

A quadratic equation is an equation where a 2nd-degree polynomial is set to zero. In other words, it's in the form of ax^2 + bx + c = 0, where "a", "b", and "c" are constants, "a" does not equal zero (otherwise it would just be a 1st-degree polynomial), and "x" is your variable. For example, 3x^2 + 15x + 47 = 0 is a quadratic equation, as is x^2 + 1 = 0 (in this second case, b=0).

A quadratic EQUATION shouldn't be confused with the quadratic FORMULA, which is what you get when ax^2 + bx + c = 0 is solved for "x". The quadratic formula is x = (-b±sqrt(b^2 - 4ac))/2a.

Answer 3

A quadratic equation can be represented by:

ax^2+bx + c = 0 or by
(y-k)^2 = 2p(x-h), or by
(x-h)^2 = 2p(y-k) where (h,k) is the vertex of the parabola, and
p/2 is the distance between the vertex and the focus.

The quadratic formula is derived by completing the squareand is:
x = [-b +/- sqrt(b^2 - 4ac)]/2a where a,b, and c are as shown in the 1st equation.

Answer 4

The quadratic equation is a formula to find 2nd degree equations solutions

ax^2 +bx +c =0

d = discriminant = (b^2 -4ac)
if d > 0, then there are 2 real solutions
if d=0, then there is only one real solution
if d < 0, then there are 2 non-real(imaginary) solutions

x = (-b +- squareroot(d) )/2a
OR
x =(-b +- squareroot(b^2 -4ac) )/2a

NOTE +- means plus or minus

Answer 5

The quadratic equation employs only x and y and constants and can be plotted on a "quadrant." An equation employing x, y and z would have to be plotted within a cube.

Answer 6

A quadratic equation is a second-order polynomial equation in a single variable

ax2+bx+c=o

Answer 7

The Quadratic Equation is...

x = [- b +/- V`(b^2 - 4ac)] / 2a

*Note - the V` sign represents the radical sign/square root...

Answer 8

quadraric equation is the equation that has second positive exponent.
standard equation is: ax^2+bx+c

quadratic fomula is:

-b +- sqr(b^2-4ac)
--------------------------
...............2a

Answer 9

a² = b² + c²
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