Question

Solve the equation and check the solution if possible:

A. x=2
B. x=−2
C.x=1
D. x=−1

Answer 1

To solve the equation x² + 0.0211x - 0.0211 = 0, we can use the quadratic formula. The solutions are x ≈ 0.033 or x ≈ -0.054.

Step-by-step explanation:

To solve the equation x² + 0.0211x - 0.0211 = 0, we can use the quadratic formula.

The quadratic formula is given by x = (-b ± sqrt(b² - 4ac)) / (2a), where a = 1, b = 0.0211, and c = -0.0211 in this equation.

Plugging these values into the quadratic formula, we get x = (-0.0211 ± sqrt((0.0211)² - 4(1)(-0.0211))) / (2(1)).

Simplifying, we have x = (-0.0211 ± sqrt( 0.00044421 + 0.08442))/ 2.

Continuing the simplification, we get x = (-0.0211 ± sqrt(0.08486421)) / 2.

Finally, we have two possible solutions: x ≈ 0.033 or x ≈ -0.054.