If a + b = 9 and ab = 20, find the value of (a² + b²)
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Step-by-step explanation:
Answer
Given,
a + b = 9 and ab = 10
Now, squaring a + b = 9 on both sides, we have
(a+b)
2
=(9)
a
2
+b
2
+2ab=81
a
2
+b
2
+2×10=81
a
2
+b
2
+20=81
a
2
+b
2
=81−20=61
∴ a
2
+b
2
=61
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