The expression which is equivalent to; 2x² - 2x + 7 as required in the task content is; 2 (x - 0.5)² + 6.5.
<h3>Which expression is equivalent to 2x² - 2x + 7 as required in the task content?</h3>
It follows from the task content that the expression which is equivalent to; 2x² - 2x + 7 is to be determined.
Therefore, since the expression whose equivalent is to be determined is; 2x² - 2x + 7; we have;
2x² - 2x + 7
By completing the square method; we have;
2(x² - x) + 7
2 {(x - 0.5)² - 0.25} + 7.
2 (x - 0.5)² - 0.5 + 7
2 (x - 0.5)² + 6.5
Therefore, the required expression which is equivalent to the given expression is; 2 (x - 0.5)² + 6.5.
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