Completing the Square (General Quadratic Form)

Completing the Square (General Quadratic Form)

TGM Original
  1. Write \(2{{x}^{2}}+10x-1\) in the form of \(a{{(x+h)}^{2}}-k\).
  2. Hence, solve \(2{{x}^{2}}+10x-1=0\).

Solution:

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Answer:\(2(x+\frac52)^2-\frac{27}2\); \(x=\frac{-5\pm3\sqrt3}{2}\).

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