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Solving a Quadratic Equation by Completion of Squares Method

Solve the giv...

Question

Solve the given quadratic equation by factorisation method, $x^{2} + 15 x + 50 = 0$

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Solution

The given quadratic equation $x^{2} + 15 x + 50 = 0$ can be factorised as follows:

$x^{2} + 15 x + 50 = 0 \Rightarrow x^{2} + 10 x + 5 x + 50 = 0 \Rightarrow x (x + 10) + 5 (x + 10) = 0 \Rightarrow (x + 5) = 0, (x + 10) = 0 \Rightarrow x = - 5, x = - 10$

Hence, $x = - 5$ or. $x = - 10$

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