Solve the quadratic equation by factorisation, completing the activity: √2 x^2 + 7x + 5√2 = 0
\(\sqrt{2}x^2 + 7x + 5\sqrt{2} = 0\) to solve this quadratic equation by factorisation, complete the following activity.
Solution: \(\sqrt{2}x^2 + \square + \square + 5\sqrt{2} = 0\); \(x(\ldots) + \sqrt{2}(\ldots) = 0\); \((\ldots)(x + \sqrt{2}) = 0\); \((\ldots) = 0\) or \((x + \sqrt{2}) = 0\); ∴ \(x = \square\) or \(x = -\sqrt{2}\); ∴ \(\square\) and \(-\sqrt{2}\) are roots of the equation.