WOLFRAM|DEMONSTRATIONS PROJECT

Solution of Quadratic Equations

​
a
2
b
2
c
4
reset
The equation is:
2
2
x
+ 2x + 4 = 0
To solve it, use the quadratic formula:
x = (-2 ±
(
2
2
- 4 × 2 × 4)
) / (2 × 2)
Simplify:
x = (-2 ±
-28
) / 4
The equation has two complex solutions:
x = (-2 ± 2
7
) / 4
or:
x
1
= (-2 + 2
7
) / 4
x
2
= (-2 - 2
7
) / 4
Simplify:
x
1
= -
1
2
+

7
2
x
2
= -
1
2
-

7
2
This Demonstration allows students and teachers to create quadratic equations of the form
a
2
x
+bx+c=0
and to solve them step by step using the quadratic formula
x=
-b±
2
b
-4ac
2a
.