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Solving Quadratic Equations by Factorising

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  • (0:01) Solving Quadratic Equations by Factorising: To solve $x^2 + bx + c = 0$, find two numbers, $m$ and $n$, that multiply to the constant term $c$ and add to the coefficient $b$.
  • (0:53) Why Factorisation Method Works: Factorisation breaks down quadratic expressions into linear factors, making it easier to find solutions directly without complex calculations.
  • (1:40) Factorising Quadratics Example: First, list factor pairs of the constant term. For $x^2 + 7x + 12 = 0$, the pairs are $(1, 12)$, $(2, 6)$, and $(3, 4)$. Then, only $(3, 4)$ adds up to 7, the coefficient of $x$. So, the solutions are $x_1 = -3 $ and $x_2 = -4$.

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