Final answer:
The quadratic equation x² +0.0211x -0.0211 = 0 can be solved using the quadratic formula. The solutions are approximately x ≈ 0.1021 or x ≈ -0.1232.
Step-by-step explanation:
This quadratic equation can be solved using the quadratic formula.
Given the equation x² +0.0211x -0.0211 = 0, we can use the quadratic formula:
x = (-b ± √(b² - 4ac)) / (2a)
Substituting the values a = 1, b = 0.0211, and c = -0.0211 into the formula, we get:
x = (-0.0211 ± √((0.0211)² - 4(1)(-0.0211))) / (2(1))
Simplifying further, the solution is:
x = (-0.0211 ± √(0.00044521 + 0.0848)) / 2
Therefore, the solutions to the equation are approximately:
x ≈ 0.1021 or x ≈ -0.1232