$\"\"$

Let $\"\"$ and $\"\"$ are two solutions of the quadratic equation, then the quadratic equation can be written as

$\"\"$ . $\"\"$

The solutions of the quadratic equation are $\"\"$ and $\"\"$ .

The quadratic equation is $\"\"$ . \ \

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Apply foil method : $\"\"$ .

$\"\"$

The L.C.M of 6, 5 and 15 is 30.

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$\"\"$ . $\"\"$

The quadratic equation is $\"\"$ .