3. If a2 + b2 = 13 and ab = 6, find the value of (a + b).
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Answer:
a² + b² = 13------ (1)
ab = 6
=> 2ab = 12 ------(2)
On adding equations 1 and 2,
a² + b² + 2ab = 13 + 12
=> (a+b)² = 25
=> a+b = √25
=> a+b = +- 5
Hence, the value of (a+b) is +5 as well as -5
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