Algebra 3 Solving Quadratic Equations Worksheet - Brunel University Page 11
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13Now we can solve the quadratic equation by using the completed square form
2
2
2x
+ 12x
23 ≡ 2(x + 3)
41 = 0
We have
41
41
2
(x + 3)
=
, ⇒ x + 3 = ±
2
2
and finally the solution of quadratic equation can be written
41
41
x
=
3 +
, x
=
3
1
2
2
2
Exercises
Complete the square.
2
x
+ 2x + 8
1.
2
y
6y
5
2.
2
2t
+ 2t + 9
3.
2
3x
9x
1
4.
2
5v
+ v
6
5.
Solutions to Exercises
2
(x + 1)
+ 7
1.
2
(y
3)
14
2.
1
17
2
2(t +
)
+
3.
2
2
3
31
2
3(x
)
4.
,
2
4
1
121
2
5(v +
)
5.
10
20
11
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