What interval contains a positive solution to the equation 0.2x^2-0.8x=1.6

Step-by-step explanation:

0.2x² - 0.8x = 1.6

Multiply both sides by 5.

x² - 4x = 8

Complete the square by adding 4 to both sides.

x² - 4x + 4 = 12

(x - 2) ² = 12

x - 2 = ±√12

x = 2 ± √12

The positive solution is x = 2 + √12 ≈ 5.46.