Complete the square for Quadratic Expression \({{x}^{2}}+px\)

Complete the square for Quadratic Expression \({{x}^{2}}+px\)

Secondary 3

Express each of the following expressions in the form \({{\left( x+a \right)}^{2}}+b\) .

  1. \({{x}^{2}}+6x\)
  2. \({{x}^{2}}-5x\)

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Answer:(i) \({{\left( x+3 \right)}^{2}}-9\) (ii) \({{\left( x-\frac{5}{2} \right)}^{2}}-\frac{25}{4}\)

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