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Quadratic Equations

Form a quadra...

Question

Form a quadratic equation with roots $4$ and $5$

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Solution

Sum of the roots $= 4 + 5 = 9$

Product of the roots $= 4 \times 5 = 20$

The quadratic equation is $x^{2} - (s u m o f t h e r o o t s) x + p r o d u c t o f t h e r o o t s = 0$

$∴$ the quadratic equation is $x^{2} - 9 x + 20 = 0$

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