If a-b= 1, a²+b² = 13 find ab
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ANSWERGiven, a + b = 5 and a 2 +b 2 =13On squaring a + b = 5 both sides, we get(a+b) 2 =(5) 2 a 2 +b 2 +2ab=2513+2ab=25⇒2ab=25−13=12⇒ab=12/2=6∴ab=6
Answered by
1
Wehave
a+b=5
bysquaringbothsides
(a+b)
2
=5
2
a
2
+b
2
+2ab=25
13+2ab=25
2ab=25−13
2ab=12
∴ ab = 6
Hence, the value of ab is 6.
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