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Find the value of a +b
i) a+b=4 and ab=5.
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Given a+b=10---(1)
ab=32---(2)
(a+b)
2
=a
2
+b
2
+2ab
(10)
2
=a
2
+b
2
+64
a
2
+b
2
=100−84=36
∴a
2
+b
2
=36−−−(3)
and
we now (a−b)
2
=a
2
+b
2
−2ab
a−b
2
=36−64
(a−b)
2
=−28
a−b=
28
=+2
7
i−−−−(4)
now
a
2
−b
2
=(a+b)(a−b)=10(2
7
i)
a
2
−b
2
=20
7
i−−−−−(5)
Have a nice day mate ☺️❤️
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