In this paper, the necessary and sufficient conditions are given for the matrix equation aX~2+bX+cE=O have positive definite solutions or real symmetric solutions. Moreover, the positive definite solution and the real symmetric solution, if exist, are described completely.关键...
compute the coefficient ff k as the largest root of the second order algebraic equation (see [21], =-=[20]-=-, and [8]): aff 2 k + bff k + c = 0 (2) where a = \Gamma p T k Ap k \Delta \Gamma p T k Bx k \Delta \Gamma \Gamma p T k Ax k \Delta \Gamma p T...
For this reason we want to be able to find the coordinates of the vertex. For any parabola,Ax2+Bx+C,the x -coordinate of the vertex is given by -B/(2A) . In our case the x coordinate is -0.5000 Plugging into the parabola formula -0.5000 for x we can calculate the y -coordinate...
ax2+bx+c Where a,b,c are real numbers and a≠0 . The roots of the equation is given by- x=−b±b2−4ac2a Discriminant (D) =b2−4ac Nature of the Roots The root can be of three form depending upon the value of D. ...
百度试题 结果1 题目The expression ax2-bx = 0has the solution x=0. 相关知识点: 试题来源: 解析 alwaysax2-bx:0 x(0-b)=0 x=o ax-b=o 反馈 收藏
∫(ax2+bx+c)dx View Solution Ifa>0and discriminant ofax2+2bx+cis negative, then Δ=∣∣ ∣∣abax+bbcbx+cax+bbx+c0∣∣ ∣∣, is View Solution Free Ncert Solutions English Medium NCERT Solutions NCERT Solutions for Class 12 English Medium ...
Given a quadratic equation in standard form (y = ax^2 + bx + c), the discriminant is b^2 - 4ac. If the discriminant is positive, you'll get two real answers. If it's equal to zero, you're only going to get one real answer. But if the discriminant is negative, that's when ...
(a not equal to 0) quadratic equations a quadratic equation is a polynomial equation of degree 2 in one variable of type f(x) = ax 2 + bx + c. quadratic equations: ax 2 +bx+c=0 (a not equal to 0) cubic equations the cubic polynomials are polynomials with degree 3. all the ...
inequalities of ax2+bx+c0 (or a0) solutions can contact the quadratic function y=ax2+bx+c image (a = 0) in the upper part of the image X axis corresponding to x = ax2+bx+c0 inequality solution, the image in the lower part of the X axis corresponds to the x value of the ...
Periodic Solutions of a Class of Second Order Functional Differential Equations We obtain sufficient conditions for the existence of periodic solutions of the following second order nonlinear differential equation:ax(t) + bx^2k-1(t) +c... ZQ Zhang,ZC Wang - 《数学学报(英文版)》 被引量: 0发...