Sage said that the Quadratic Formula does not always work. Sage used it to solve the equation x2 – 3x - 2 = - 4, with a = 1, b = -3, and 3+ V17
c=-2. The formula gave x =
2
as the solutions to the equation. When Sage checked, neither one of them satisfied the equation.
How could you convince Sage that the Quadratic Formula does always work?
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A Remind Sage to make sure the equation has a 0 on one side before trying to use the Quadratic Formula. Doing so gives a value of
instead of -2 for c. With the correct values of a, b, and c, the solutions will check.
ов.
Point out that Sage made an error in checking her solutions. Both
3+ /17 3- V17
2
2
do, in fact, satisfy the equation
x²-3x-2=-4.
and
O C. Find the error in Sage's calculation. Using the quadratic formula with a = 1, b = -3, and c= - 2 should have given solutions of
x=, and these will check.
(Type an exact answer, using radicals and i as needed. Use a comma to separate answers as needed.)