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Math Problems
Precalculus
Solve equations using a quadratic pattern
Solve the equation by graphing.
\newline
x
2
+
8
x
+
7
=
0
x^{2}+8 x+7=0
x
2
+
8
x
+
7
=
0
\newline
First, graph the associated parabola by plotting the vertex and four additional points, two on each side of the vertex.
\newline
Then, use the graph to give the solution(s) to the equation. If there is more than one solution, separate them with commas.
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Solve the equation by graphing.
\newline
x
2
+
2
x
+
1
=
0
x^{2}+2x+1=0
x
2
+
2
x
+
1
=
0
\newline
First, graph the associated parabola by plotting the vertex and four additional points, two on each side of the vertex.
\newline
Then, use the graph to give the solution(s) to the equation.
\newline
If there is more than one solution, separate them with commas.
Get tutor help
Solve the equation by graphing.
\newline
−
x
2
+
1
=
0
-x^{2}+1=0
−
x
2
+
1
=
0
\newline
First, graph the associated parabola by plotting the vertex and four additional points, two on each side of the vertex.
\newline
Then, use the graph to give the solution(s) to the equation. If there is more than one solution, separate them with commas.
Get tutor help
Solve the equation by graphing.
\newline
−
x
2
+
12
x
−
27
=
0
-x^{2}+12 x-27=0
−
x
2
+
12
x
−
27
=
0
\newline
First, graph the associated parabola by plotting the vertex and four additional points, two on each side of the vertex.
\newline
Then, use the graph to give the solution(s) to the equation. If there is more than one solution, separate them with commas.
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5
5
5
. Mr. Turner gave his students problems to work on during class. The list below shows the progress of four students on their assignment. Write the numbers in order from greatest to least.
\newline
Write the correct answer in each box.
\newline
Greatest
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Complete the proof of the identity by choosing the Rule that justifies each step.
\newline
cos
2
x
−
sin
2
x
=
1
−
2
sin
2
x
\cos ^{2} x-\sin ^{2} x=1-2 \sin ^{2} x
cos
2
x
−
sin
2
x
=
1
−
2
sin
2
x
\newline
To see a detailed description of a Rule, select the More Information Button to the
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