Final answer:
The differential equation dy/dx=(1-6x)x is best solved using the method of separation of variables, while the quadratic equation x² + 1.2 x 10-2x - 6.0 × 10-³ = 0 can be solved using the quadratic formula.
Step-by-step explanation:
The question 'which method work to solve it and why? dy/dx=(1-6x)x' involves a differential equation in Mathematics. To solve this first-order differential equation, you can use the method of separation of variables.
This technique involves rearranging the equation so that all terms involving y are on one side and all terms involving x are on the other. Then you would integrate both sides with respect to their respective variables.
However, the additional information provided with the quadratic equation x² + 1.2 x 10-2x - 6.0 × 10-³ = 0 is not directly relevant to solving the differential equation. To solve such a quadratic equation, you would typically use the quadratic formula which is derived from the general form ax² + bx + c = 0, where a, b, and c are coefficients.