Solve the following quadratic equation by factorisation: 2x^2 - 2x + 1/2 = 0
Solve the following quadratic equation by factorisation.
\[2x^2 - 2x + \frac{1}{2} = 0\]1 answer
Answer: \(x = \frac{1}{2} \text{ (both roots)}\)
Multiply by 2 first. Product 4, sum \(-4\): use \(-2\) and \(-2\).
\[4x^2 - 4x + 1 = 0 \quad (\times 2)\]\[4x^2 - 2x - 2x + 1 = 0\]\[2x(2x - 1) - 1(2x - 1) = 0\]\[(2x - 1)(2x - 1) = 0\]Equating each factor to zero gives the roots above.
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· 24 Oct 2026
AI-verified · Oct 2026
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