Mathematics, 30.11.2021 01:40 zesk
Amy and Richard each solved an equation using the quadratic formula.
Amy's Equation and Method
Latex: 4x^2+7x-20=0
4
x
2
+
7
x
ā
20
=
0
Step 1: Latex: x=\frac{-7\pm \sqrt{7^2-4(1)(20)}}{2(4)}
x
=
ā
7
Ā±
ā
7
2
ā
4
(
1
)
(
20
)
2
(
4
)
Step 2: Latex: x=\frac{-7\pm \sqrt{49-80}}{8}
x
=
ā
7
Ā±
ā
49
ā
80
8
Step 3: Latex: x=\frac{-7\pm \sqrt{-31}}{8}
x
=
ā
7
Ā±
ā
ā
31
8
Step 4: Latex: x=\frac{-7\pm i\sqrt{31}}{8}
x
=
ā
7
Ā±
i
ā
31
8
Richard's Equation and Method
Latex: x^2-6x+8=0
x
2
ā
6
x
+
8
=
0
Step 1: Latex: x=\frac{6\pm \sqrt{(-6)^2-4(1)(8)}}{2(1)}
x
=
6
Ā±
ā
(
ā
6
)
2
ā
4
(
1
)
(
8
)
2
(
1
)
Step 2: Latex: x=\frac{6\pm \sqrt{36-32}}{2}
x
=
6
Ā±
ā
36
ā
32
2
Step 3: Latex: x=\frac{6\pm \sqrt{4}}{2}
x
=
6
Ā±
ā
4
2
Step 4: Latex: x=\frac{6+\sqrt{4}}{2}
x
=
6
+
ā
4
2
and Latex: x=\frac{6-\sqrt{4}}{2}
x
=
6
ā
ā
4
2
Step 5: Latex: x=\frac{6+2}{2}
x
=
6
+
2
2
and Latex: x=\frac{6-2i}{2}
x
=
6
ā
2
i
2
Step 6: Latex: x=4
x
=
4
and Latex: x=3-i
Both students made a mistake.
Describe the mistake each student made.
Explain what each student needs to do to fix their mistake.
Create your own quadratic equation, and explain how to use the quadratic formula to solve it. Be specific, using Latex: a\textsf{, }b\textsf{,} and Latex: c
c
of your equation and giving the solutions to the equation you chose.
Answers: 3
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Valentina is subtracting from . she finds the lcd to be 15y2. what is valentina's next step?
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Amy and Richard each solved an equation using the quadratic formula.
Amy's Equation and Method
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