What are the Navier-Stokes equations, and do discriminants of related expressions appear in stability analyses?

Because the value of b2 – 4ac is less than zero, this equation will not have real solutions. Our answer will be 2x2 – 4x + 5 = 0. If we inspect all of the other ... If b2 − 4ac < 0, we say the equation is elliptic. Example 1. • The wave equation utt − uxx = 0 is hyperbolic. • The Laplace equation. 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. b2 − 4ac = (−5)2 − 4 × 1 × 6=1 therefore, there are two solutions. Solution: Question 1 (continued). Substituting into the quadratic formula gives: x = −b ... The quadratic formula solves quadratic equations. Given an equation in standard form, ax²+bx+c=0, the formula is: x=(-b±√(b²-4ac) ... 2−4(1)(−9)2 ... 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. Jan 21, 2020 ... Meoh789 Play Hard Win All The Best Online Games. Oct 2, 2022 ... Find all the roots of the solution, and compute the distance between successive roots to see that it is a constant. The quadratic formula, x=- b±sqrt(b^2-4ac)/2a, can be derived by completing the square on the general standard form a quadratic equation. The discriminant (B2-4AC) is used to determine which conic section will result. If the discriminant is less than zero we have a circle (if A = C) or an ellipse;