What is the quadratic formula? Write it out please :)?

x=-b+or-square root of b^2-4ac all over 2a.

For equation of the general form : ax^2 + bx + c = 0, which is what appears in all textbooks, the quadratic formula, yup, is as stated in previous answers.

I have used a more simplified version, as follows :

Eliminate the 'a' coefficient by dividing by 'a' and let the new terms

b/a = 2B

c/a = C, then the general becomes

x^2 + 2Bx + C = 0

then the original quad formula becomes :

x = { - 2B +/- sqrt [ (2B)^2 - 4 (1) (C) ] } / 2 (1)

x = { - 2B +/- sqrt [ 4B^2 - 4 C ] } / 2

notice the common 4 in the sqrt, which can be rooted out as 2, then

x = { - 2B +/- 2*sqrt [ B^2 - C ] } / 2

x = { - B +/- sqrt [ B^2 - C ] }

therefore, if there is 'a', divide the whole equation by 'a' and then let the new 'b' be half of that ( of course, c/a becomes a new constant, which can also be labeled c), then

x = { - b +/- sqrt [ b^2 - c ] }

which I think is easier to use because it is less complicated.

Example :

2x^2 + 12x + 10 = 0

x^2 + (2*3)x + 5 = 0

x = - 3 +/- sqrt [ 3^2 - 5 ]

x = - 3 +/- 2

x = -1, -5

If f(x) = ax^2 + bx + c = 0, then:
x = [-b +/-sqrt(b^2-4ac)]/(2a)

i'm uncertain how difficult your concern could be... Quadratic is often a polynomial with a level of two. y=a(x-h)^2+ok is the formulation your vertex is (h,ok) your slope is "a" enable's say the vertex is at (a million,2). Your equation could be y=a(x-a million)^2+2.

ax² + bx + c = 0
x = [ - b ± √ (b ² - 4 a c ) ] / 2 a

Example
2x² + 7x + 6 = 0
x = [ - 7 ± √ (49 - 48 ) ] / 4
x = [ - 7 ± √ (1) ] / 4
x = [ - 7 ± 1 ] / 4
x = - 6 / 4 , x = - 8 / 4
x = - 3 / 2 , x = - 2

The answer is


-b+- sqrt(b^2-4*a*c)/2*a

-b (plus or minus) square root of [(b^2)-4AC] then all of this divided by 2A

in an equation f(x), your A is the coefficient before the x^2, B is the coefficient before the x, and c is just the number

for example, 5X^2+7x+3, 5 is A, 7 is B, and 3 is C

http://i.ehow.com/images/GlobalPhoto/Articles/2225336/quad-main_Full.jpg

Discriminant (Quadratic formula) is to solve the quadratic equations.

x = [-b ±√(b^2 - 4ac)]/2a

x=(-b+or - sqrt(b^2-4ac))/2a