Name: ___________________
Date:___________________
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High School Mathematics - 2
5.1 Conditional Identities
Example
: If a+b+c = 2S prove that S
^{2}
+(S-a)
^{2}
+ (S-b)
^{2}
+(S-c)
^{2}
= a
^{2}
+b
^{2}
+c
^{2}
Directions: Prove the following.
Name: ___________________
Date:___________________
High School Mathematics - 2
5.1 Conditional Identities
Q 1
: If a+b+c 0 and a
^{3}
+b
^{3}
+c
^{3}
=3abc prove that a=b=c
Answer:
Q 2
: If a+b+c = 2S prove that a
^{2}
+b
^{2}
- c
^{2}
+2ab/ a
^{2}
-b
^{2}
+ c
^{2}
+2ac = (S-c)/(S-b)
Answer:
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