Quadratic Functions, Equations and Inequalities

Quadratic Functions, Equations and Inequalities

Secondary 3

A student writes: \[2x^2+4x+7=2(x+1)^2+6.\]

  1. Explain the error.

  2. Write the correct completed-square form.

  3. State the minimum value.

Solution:

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Answer:(a) The correction inside the bracket must also be multiplied by \(2\); (b) Correct form \(2(x+1)^2+5\); (c) Minimum \(5\)

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