If a-b=b and a+b=8 find a2+b2
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0
Answer:
We have,
a−b=7 …… (1)
ab=8 …….. (2)
On squaring both sides of equation (1), we get
(a−b)
2
=(7)
2
a
2
+b
2
−2ab=49
From equation (2), we get
a
2
+b
2
−2×8=49
a
2
+b
2
−16=49
a
2
+b
2
=49+16
a
2
+b
2
=65
Hence, this is the answer.
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