How can these mistakes be avoided?

Reduced forms. Consider a form ax2 + bxy + cy2. , with a, c > 0, and b2. -. Detailed step by step solution for k=(4ac-b^2)/(4a) The discriminant is B^2-4AC. Notice this is the portion of the formula inside the square root. If the discriminant = 0, then the formula degrades to x = -B ... Jun 12, 2017 ... The question asks whether entire parabola is below x-axis. This will happen if discriminant is negative AND the parabola opens downward. B2 – 4AC is the discriminant and identifies the type of conic. If B2 – 4AC < 0, then ellipse or circle; If B2 – 4AC = 0, then parabola ... However, we know there must be another independent solution. It's not obvious what that might be, but let's make the educated guess y(t) = C2teλ1t. 17 In the quadratic formula, b2 − 4ac is called the discriminant. The function f(x) has a discriminant value of 8, and g(x) has a discriminant value of. The answer is statement 1 only, which would be selection A. A graph that meets the criteria expressed above would be: -x^2 + x - 1. Oct 24, 2008 ... (2) Let 4ac − b2 = 0. Using separation of variables, we obtain. Z dy ... b2 − 4ac − (2ad + b −. √ b2 − 4ac)et. √ b2−4ac . (2.7). To ... The discriminant is 0, so the root is rational and the equation can be solved by factoring. In. , substitute: Since. , the equation has 2 real roots. b2 4ac>0.