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

Options

A. 6, 10
B. `-6, -10`
C. `-7, -9`
D. none of these

Answer

B

Explanation

Let the quadratic equation be `x^(2) + bs + c = 0`.
It is given that b = 16.
When b = 19 the roots are -15 and -4.
`therefore" "`Product of roots `= c rArr -15 xx - 4 = c rArr c = 60`.
Thus, the quadratic equation is `x^(2) + 16x + 60 = 0 rArr x = - 10, -6`.
Hence, root are -10, and -6.