The equation whose roots are $4$ and $5$ is

x^{2} + 9 x + 20 = 0

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x^{2} - 9 x - 20 = 0

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x^{2} - 9 x + 20 = 0

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x^{2} + 9 x - 20 = 0

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Solution

The correct option is C $x^{2} - 9 x + 20 = 0$
The given roots are $4$ and $5$ .
Sum of the roots, $S = 4 + 5 = 9$ .
Product of the roots, $P = 4 \times 5 = 20$ .
We know that, the required equation is $x^{2} - x (S) + P = 0$
Therefore, we get the equation to be $x^{2} - 9 x + 20 = 0$

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