Complete the Square to Find Solutions
Algebra 2 · Flashcards
ALGEBRA 2 · FLASHCARDS
Card 1
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QUESTION
What is the result after dividing
a
x
2
+
b
x
+
c
=
0
ax^2+bx+c=0
a
x
2
+
b
x
+
c
=
0
by
a
a
a
?
QUESTION
Rewrite
x
2
−
5
x
x^2-5x
x
2
−
5
x
as a square plus a constant:
x
2
−
5
x
=
(
x
−
_
_
)
2
−
_
_
x^2-5x=\left(x-\_\_\right)^2-\_\_
x
2
−
5
x
=
(
x
−
__
)
2
−
__
.
QUESTION
Identify the missing term:
x
2
−
3
x
+
_
_
_
=
(
x
−
3
2
)
2
x^2-3x+\_\_\_ = \left(x-\frac{3}{2}\right)^2
x
2
−
3
x
+
___
=
(
x
−
2
3
)
2
.
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ANSWER
9
4
\frac{9}{4}
4
9
.
(
3
2
)
2
=
9
4
\left(\frac{3}{2}\right)^2 = \frac{9}{4}
(
2
3
)
2
=
4
9
completes the square.
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