Final answer:
The values of x for which the determinant is zero can be found by solving the quadratic equation x² +0.0211x -0.0211 = 0 using the quadratic formula.
Step-by-step explanation:
The values of x for which the determinant is zero can be found by solving the quadratic equation x² +0.0211x -0.0211 = 0. We can rearrange this equation using quadratic formula to solve for the two possible values of x.
Using the quadratic formula:
x = (-b ± √(b²- 4ac))/(2a)
where a = 1, b = 0.0211, and c = -0.0211
After plugging in the values, we find that x = 0.959 or x = -0.022