Complete the Square to Find Solutions
Algebra · Flashcards · Recall
ALGEBRA · FLASHCARDS
Card 1
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QUESTION
What is the quadratic formula for solutions to
a
x
2
+
b
x
+
c
=
0
ax^2+bx+c=0
a
x
2
+
b
x
+
c
=
0
?
QUESTION
What does
b
2
−
4
a
c
<
0
b^2-4ac<0
b
2
−
4
a
c
<
0
tell you about the solutions of
a
x
2
+
b
x
+
c
=
0
ax^2+bx+c=0
a
x
2
+
b
x
+
c
=
0
?
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
?
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ANSWER
x
2
+
b
a
x
+
c
a
=
0
x^2+\frac{b}{a}x+\frac{c}{a}=0
x
2
+
a
b
x
+
a
c
=
0
. Standard form after dividing by the leading coefficient.
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