2.8: Completing the square and a related minimum

0606/22/M/J/19 — Question 5 · 5 marks

(i)
Express 5x215x+15x^{2} - 15x + 1 in the form p(x+q)2+rp(x + q)^{2} + r, where pp, qq and rr are constants.
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(ii)
Hence state the least value of x23x+0.2x^{2} - 3x + 0.2 and the value of xx at which this occurs.
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