Question:
If α and β are the zeroes of the polynomial x2 + 7x + 3, then the value of (α - β)2 is
Answer:
Given, α and β are the zeroes of the polynomial x2 + 7x + 3
Now, α + β = -7
and α * β = 3
Now, (α - β)2 = (α + β)2 - 4 * α * β
= (-7)2 - 4 * 3
= 49 - 12
= 37
So, (α - β)2 = 37
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