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Solving a Quadratic Equation by Completion of Squares Method

If 2 is a roo...

Question

If 2 is a root of the Equation $x^{2} + k x - 5 = 0$ , then find the value of k.

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Solution

$x^{2} + k x - 5 = 0$

substitute 2 in the equation.
$4 + 2 k - 5 = 0 k = \frac{1}{2}$

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