Example 7:
If a^2 + b^2 = 73 and ab = 24; find : (i) a + b
(ii) a - b
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20
Step-by-step explanation:
a²+b²=73
ab=24
using identities
(a+b)²=a²+b²+2ab
(a+b)²=73+2×24
(a+b)²=73+48
(a+b)²=121
a+b=√121
a+b=11
(a-b)²=a²+b²-2ab
(a-b)²=73-2×24
(a-b)²=73-48
(a-b)²=25
a-b=√25
a-b=5
I hope it's help you.
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2
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