Form the quadratic equation whose roots are:
$3$ and $10$

x^{2} - 30 x + 13 = 0

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x^{2} + 13 x + 30 = 0

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x^{2} - 13 x + 30 = 0

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x^{2} + 30 x + 13 = 0

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Solution

The correct option is C $x^{2} - 13 x + 30 = 0$
Roots of the quadratic equation are $3$ and $10$
Then, $(x - 3) (x - 10) = 0$
$x (x - 10) - 3 (x - 10) = 0$
$x^{2} - 10 x - 3 x + 30 = 0$
$∴ x^{2} - 13 x + 30 = 0$
This is the required quadratic equation.

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