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

Question

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 (A) 6, 10 (B) -6, -10 (C) -7, -9 (D) None of these

Tardigrade Admin · Accepted Answer

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

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

6, 10

-6, -10

-7, -9

None of these

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

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