Aman and Alok attempted to solve a quadratic equation Aman made a mistak in writing down the constan...........

Quantitative Aptitude (CDS) Quadratic Equations

Aman and Alok attempted to solve a quadratic equation. Aman made a mistak in writing down the constant term and ended up in roots (4, 3). Alok made a

mistake in writing down the coefficient of X to get roots (3, 2). The correct roots of the equation are

-4, -3

6 , 1

4 , 3

-6 , -1

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Explanation:

Roots of Aman be (4, 3)
So, equation be ??² − (sum of roots)x +products of roots …………. (i)
= x² − (4 + 3)x + (4 × 3)
= x² − 7x + 12
Here constant is 12 which is wrong
Roots of Alok be (3, 2)
So, equation be
= x² − (3 + 2)x + (3 × 2)
[According to (i)]
= x² − 5x + 6
Here coefficient of ?? = −5 which is wrong.
So, the correct equation be x² − 7x +6
= (x− 1)(x − 6)
For roots,
(x − 1)(x − 6) = 0
=>x= 1 or x = 6