2x² – 4x + 6 in the form p(x – q)²+ r where p, q and r are constants to be found. Hence state the least value of 2x2 – 4x + 6 and the value of x at which this occurs.
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Answer:
2x
2
+4x+3=0
Let the roots be α,β
So α+β=
2
−4
=−2.
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