What is the improved quadratic formula in graphic form?

1 Answer
Jul 4, 2017

x=b2a±d2a
D=d2=b24ac

Explanation:

The quadratic formula in graphic form (Socratic, Google Search):

x=b2a±d2a,
D=d2=b24ac.

a, b, and c are the coefficients of the quadratic equation,
b2a is the coordinate of the axis of symmetry, or of the vertex
(+- d/2a) are the distances from the axis of symmetry to the 2 x-intercepts.
Example. Solve: 8x222x13=0
D=d2=b24ac=484+416=900 --> d=±30
There are 2 real roots:
x=b2a±d2a=2216±3016=11±158
x1=168=2
x2=48=12