One of the two students while solving a quadratic equation in x copied the constant term incorrectly and got the roots 3 and 2. The other copied the constant term and coefficient of x ² correctly as -6 and 1 respectively. What are the correct roots .

Answers

Question :

One of the two students while solving a quadratic equation in x copied the constant term incorrectly and got the roots 3 and 2. The other copied the constant term and coefficient of x ² correctly as -6 and 1 respectively. What are the correct roots .Submitted on 4/2/2024 | Answered by Vandana Rana

Answer :

Let the equation be x² + ax + b = 0
Its roots are 3 and 2
.'. Sum of roots, 5 = -a and product of roots, 6 = b . .. Equation is x² - 5x + 6 = 0 Now constant term is wrong and it is given that correct constant term is -6.
.'. x² - 5x - 6 = 0 is the correct equation.
Its roots are -1,6