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Complete the following activity to solve the quadratic equation \(x^2 + 8x - 48 = 0\) by completing square method.Activity :\(\therefore\ x^2 + 8x - 48 = 0\)\(\therefore\ x^2 + 8x + 16 -\) ____ \(- 48 = 0\)\(\therefore\ (x + 4)^2 -\) ____ \(= 0\)\(\t…

Q.2 (A)(i) Complete the following activity to solve the quadratic equation \(x^2 + 8x - 48 = 0\) by completing square method.

Activity :

\(\therefore\ x^2 + 8x - 48 = 0\)

\(\therefore\ x^2 + 8x + 16 -\) ____ \(- 48 = 0\)

\(\therefore\ (x + 4)^2 -\) ____ \(= 0\)

\(\therefore\ (x + 4)^2 = 64\)

\(\therefore\ x + 4 =\) ____ or \(x + 4 = -8\)

\(\therefore\ x = 4\) or \(x =\) ____

1 answer

Best answer

Answer: the blanks are 16, 64, 8 and –12; so \(x = 4\) or \(x = -12\).

\(x^2 + 8x - 48 = 0\)

Half of 8 is 4, and \(4^2 = 16\), so add and subtract 16: \(x^2 + 8x + 16 - 16 - 48 = 0\).

\((x + 4)^2 - 64 = 0\), i.e. \((x + 4)^2 = 64\).

Taking square roots, \(x + 4 = 8\) or \(x + 4 = -8\).

\(\therefore\ x = 4\) or \(x = -12\).

Doubtly AI · 25 Oct 2026 AI-verified · Oct 2026 Report
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