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Solve the polynomial by completing the square. Show all steps of your work. x^2 - 11x + 24 = 0
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Solve the polynomial by completing the square. Show all steps of your work. x^2 - 11x + 24 = 0
asked
Feb 18, 2024
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Solve the polynomial by completing the square. Show all steps of your work.
Mathematics
middle-school
Ishpreet
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Ishpreet
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2
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6
votes
Given equation:
x
2
+11x+24=0
Adding (
2
11
)
2
on both side, we get
x
2
+11x+
4
121
+24=
4
121
⇒(x+
2
11
)
2
=
4
121
−24=
4
25
⇒x+
2
11
=±
2
5
⇒x=±
2
5
−
2
11
⇒x=−8 or x=−3
Altblue
answered
Feb 20, 2024
by
Altblue
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5
votes
Find the common factors that multiply to get 24 and add to get -11 (-8,-3)
Set them equal to 0
-8=0 -3=0 switch the signs
{3,8}
Tyler McHenry
answered
Feb 23, 2024
by
Tyler McHenry
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