In solving a problem, one student made a mistake in the coefficient of the first degree term and obtained -9 and -1 as the roots. Another student made a mistake in the constant term of the equation and obtained 8 and 2 for the roots. Assuming the coefficient of x2 as 1, the correct equation was-
x2 - 10x +9 = 0
According to the first set of solutions, equation:
(x + 9)(x + 1) = 0
x2 + 10x + 9 = 0 [Constant term is correct]
According to the second set of solutions:
(x - 8)(x - 2) = 0
x2 -10x + 16 = 0 [Coefficient of x is correct]
So, the correct equation is x2 - 10x + 9 = 0 [Taking the correct terms from above equations]