已知3x2﹣2x+1=0,求代数式(x﹣3)2+2x(2+x)﹣7的值.
解:∵3x2﹣2x+1=0,
∴3x2﹣2x=﹣1,
∴(x﹣3)2+2x(2+x)﹣7
=x2﹣6x+9+4x+2x2﹣7
=3x2﹣2x+2
=﹣1+2
=1.
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