Solving Quadratic Equations Using The Quadratic Formula Worksheet - University Of East Anglia
ADVERTISEMENT
1
2Learning Enhancement Team
Solving Quadratic Equations
Worksheet:
using the Quadratic Formula
If you find a quadratic equation difficult to factorise, you can use the quadratic formula to
2
solve the equation. The quadratic equation must look like
ax
bx
c
0
and you may
have to manipulate the equation to make it look like this. If your equation does look like this
then the solutions are given by the formula:
2
b
b
4
ac
x
2
a
Solving Quadratic
Equations using the
Model Answers
Quadratic Formula
to this Sheet
study guide
1.
Solve the following quadratic equations using the quadratic formula. For those with an
asterisk (*), you can also find the solutions by factorisation. Solve these quadratics
equations both ways and contrast the benefits of choosing one method over another.
2
In some cases, you might need to rearranged the equation to the form
ax
bx
c
0
before using the formula.
x
x
2
2
(a*)
(b)
x
7
12
0
x
7
11
0
2
2
(c)
x
13
x
11
0
(d*)
10
3
x
x
0
x
2
2
(e)
4
x
4
1
(f*)
4
x
5
x
1
2
2
(g)
x
2
3
x
(h*)
2
x
18
x
x
2
2
(i)
6
x
3
0
(j)
4
x
4
1
3
4
2
x
104
(k)
(l)
A bit more challenging:
2
2
2
2
x
1
x
x
6
1
x
3
3
ADVERTISEMENT
0 votes
Related Articles
Related forms
Related Categories
Parent category: Education