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  4. In a quadratic equation with leading coefficient 1 , a student reads the coefficient 16 of x wrongly as 19 and obtain the roots as -15 and -4. The correct roots are

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Q. In a quadratic equation with leading coefficient $1$ , a student reads the coefficient $16 $ of $x$ wrongly as $19$ and obtain the roots as $-15$ and $-4$. The correct roots are

Complex Numbers and Quadratic Equations

Solution:

Since coefficient of $x=16$,
$\therefore $ sum of roots $=-16$
Since constant term $=(-15)(-4)=60$,
$\therefore $ correct answer is $-6,-10$.