WOLFRAM|DEMONSTRATIONS PROJECT

Solve Quadratic Equations with Integer Coefficients

​
a
-50
b
-100
c
-50
Solve:
-50
2
x
-
100
x
-
50
= 0
Use the quadratic formula:
x
=
-b
±
2
b
- 4
ac
2
a
a
= -50
; b
= -100
; c
= -50
x
=
-(-100)±
2
(-100)
- 4(-50)(-50)
2(-50)
x
=
100
±
10000
- 4(
2500
)
-100
x
=
100
±
0
-100
x
=
100
± 0
-100
The solutions are
x = -1
x = -1
This Demonstration gives step-by-step solutions of quadratic equations of the form
a
2
x
+bx+c=0
with integer coefficients by using the quadratic formula. Exact solutions are given for values of
a
,
b
, and
c
.