Quadratic Formula Worksheet With Answer Key - Tutoring And Learning Centre, George Brown College, 2014

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Quadratic Formula
The quadratic formula can be used to find the roots of a quadratic equation of the form
2
ax
+ bx + c = 0. These roots correspond to the x-intercepts of the quadratic relation
that the equation describes.
−b ± √b
− 4ac
The quadratic formula is:
2
x =
2a
When working on solving quadratic equations, it is advisable to use the quadratic
formula only when factoring fails.
2
The b
– 4ac part of the formula is called the discriminant and can be used to
determine the number of roots or x-intercepts for a quadratic relation/equation.
2
2
2
b
– 4ac > 0 (i.e. positive)
b
– 4ac = 0
b
– 4ac < 0
(i.e. negative)
There are 2 real roots
There are 2 equal real
There are no real
roots
roots
(and 2 x-intercepts).
(and 1 x-intercept).
(and no x-intercepts).
Tutoring and Learning Centre, George Brown College 2014

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