How is curvature defined for a general curve?

given the nature of the roots, to find the condition that makes this happen. Find the nature of the roots of 9x² +24x+16=0. a = 9 b=24 c = 16 b2-4ac ... 2. Over #: ax² + bx + c = 0. → x= -b±√b²-4ac га. "two issues: division by za. - is √b²-4ac EZZ with. In 24/m²: If gcd (za,n) = 1, then division га. Main goal: a. b± b. 2 4ac. 2a. E= dV dx. F=q E. V = 1. 4. Q r. R. 2 =N a. 2 x. 2 =2 Dt c=6 R. = v R. 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. ... b2​=a(x+2ab​)2 ... −(b2 − 4ac) = 4ac − b2. The formula for h has a denominator of 2a; double ... b2 – 4ac < 0. No real roots. 4. b2 – 4ac = 32- 4x1x(-2) = 9 +8 = 17. b2 ... If b2 – 4ac < 0 , the line does not touch the curve. It is not a tangent. If ... term with B + D. The result is. T. C2 — A2. B2. — D2. 1. V 2 H ~ 2 A H [ A C ( A + C)2. +. BD(B+D)2\. <2>. Now a quantity like (.A + C)2 = 4AC + (A - C)2 may be ... Feb 2, 2020 ... Overview of the discriminant from quadratic formula and its interpretation. Click here to see all quadratic formula videos: ... If b2 − 4ac < 0, we say the equation is elliptic. Example 1. • The wave equation utt − uxx = 0 is hyperbolic. • The Laplace equation. Hence, the nature of the roots α and β of equation ax2 + bx + c = 0 depends on the quantity or expression (b2 – 4ac) under the square root sign. We say this ...