What is the Lagrangian method for optimization with constraints?

Which of the following statements are true of the discriminant? ... The discriminant is b 2 - 4ac in the quadratic formula. The discriminant is the radicand of ... Square root in the denominator ; − b {\displaystyle -b}. {\displaystyle -b} ; + b 2 − 4 a c {\displaystyle \textstyle +{\sqrt {b^{2}-4ac}}}. {\displaystyle \ ... 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 ... Note: The number b2 - 4ac is called the discriminant of the equation ax2 + bx + c = 0. If the discriminant is negative then the equation has no real solutions. 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 ... (2ax + b)2 = b2 − 4ac. ⇒. 2ax + b = ±. √ b2 − 4ac. ⇒. 2ax = −b ±. √ b2 − 4ac. ⇒ x = −b±. √ b2−4ac. 2a . This is the quadratic formula. 1Jason Zimba is a ... where a, b and c are real coefficients. The general solution to such an equation is given by the following formula, called the quadratic formula;. If b2 -4ac ... Jan 21, 2020 ... Meoh789 Play Hard Win All The Best Online Games. 2. Simple Gini Index with Quadratic Pen's Parade. Consider a quadratic ... b2 – 4ac < 0. We are now able to compute the coefficient of variation of ... where both square roots are to be considered when b2 − 4ac 6= 0,. (b) Use the result in part (a) to find the roots of the equation z2 + 2z + (1 − i) = 0.