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Solve the polynomial by completing the square. Show all steps of your work.


x^2 - 11x + 24 = 0

User Ishpreet
by
7.8k points

2 Answers

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
User Altblue
by
8.0k points
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}
User Tyler McHenry
by
7.7k points

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