Final answer:
The sum and product of the roots of the quadratic equation x² - 6x + 4 = 0 are 6 and 4 respectively, hence the value of r + s - rs is 2.
Step-by-step explanation:
If r and s are the same roots of the quadratic equation x² - 6x + 4 = 0, we are asked to find r + s - rs. According to the properties of quadratic equations, specifically for an equation of the form ax² + bx + c = 0, the sum of the roots is -b/a and the product of the roots is c/a. In our equation, a = 1, b = -6, and c = 4.
So the sum of the roots (r + s) is -(-6)/1 = 6, and the product of the roots (rs) is 4/1 = 4. Therefore, r + s - rs is 6 - 4 = 2. This is the value we were looking to find.