Question

Find explicit formulas (no sup or inf) for the endpoints of the interval in the mentioned equation for the following special cases:

a. c 0 =1 and 1=0c 1 =x>0.
b. 1c 0 =1 and <0c 1 =x<0.

Answer 1

To find the explicit formulas for the endpoints of the interval in the given quadratic equation, we can use the quadratic formula.

Step-by-step explanation:

To find explicit formulas for the endpoints of the interval in the equation ax² + bx + c = 0, we can use the quadratic formula. The quadratic formula states that for an equation of the form ax² + bx + c = 0, the solutions for x can be found using the formula:

x = (-b ± √(b² - 4ac)) / (2a)

In the special case where c0 = 1 and 1=0c1 = x > 0, we substitute the values of a = 1.00, b = 10.0, and c = -200 into the formula to find the explicit formulas for the endpoints. Similarly, in the special case where c0 = 1 and <0c1 = x < 0, we can substitute the same values of a, b, and c to find the explicit formulas for the endpoints.