On the number of solutions of a quadratic equation in a normed space二次算子二次泛函方程向量空间研究方程Q(u)=g,其中Q是映射一个赋范空间到另一个的连续二次算子.显然,若u是该方程的一个解,则-u也是一个解.给出没有其它解的条件,并应用其研究偏微方程u△u=g的Dirichlet边值问题.Alexandrov Victo...
sin[cot^(-1){tan(cos^(-1)x)}] is e uq (a) x (b) sqrt(1-x^2) (c) 1/x... 04:00 The number of solutions of equation tan^(-1)2x+tan^(-1)3x=pi/4 is (... 02:18 If alpha=tan^(-1)(t a n(5pi)/4)a n dbeta=tan^(-1)(-tan(2pi)/3),t h e n... 03...
Therefore, the number of solutions for the first equation is:Number of solutions=1 Equation 2: x2−4x+3−log2x=0 Step 1: Rewrite the equationWe can rewrite the equation as:x2−4x+3=log2x Step 2: Identify the quadratic functionThe left side x2−4x+3 is a quadratic function ...
Learn how to get the Solution of Quadratic Equation in Complex Number System. It involves complex roots of the equation of order 2nd. To learn more on quadratic equation, visit BYJU'S.
Consider a general quadratic with the coefficient of being and the roots being and . It can be factored as which is just . Thus, the sum of the roots is the negative of the coefficient of and the product is the constant term. (In general, this leads to Vieta's Formulas). We now ha...
Suppose that p is a prime number and quadratic equation x2−2px+p2−5p−1=0 has two integer solutions for x. Find all the possible values of p. 相关知识点: 试题来源: 解析 p=3 or p=7 因为x2−2px+p2−5p−1=0 有两个整数根; 所以Δ=(−2p)2−4×(p2−5p−1...
Consider a general quadratic with the coefficient of x1 being 1 and the roots being r and s. It can be factored as (x−r)(x−s) which is just x2−(r+s)x+rs. Thus, the sum of the roots is the negative of the coefficient of x and the product is the constant term. (In...
Given that for any rational number , quadratic equation always has two rational roots for , what is the value of ? 相关知识点: 试题来源: 解析 因为对任何有理数 , 关于 的二次方程 都有有理根;所以对任何有理数 a, 为有理数的平方;所以关于 的二次方程必有两个相等的实根; 所以 . ...
A note on the number of solutions of the generalized Ramanujan-Nagell equation x2 − D = pn Let D be a positive integer, and let p be an odd prime with p ∤ D. In this paper we use a result on the rational approximation of quadratic irrationa... YE Zhao,T Wang - 《Czechoslo...
Number theory, branch of mathematics concerned with properties of the positive integers (1, 2, 3, …). Modern number theory is a broad subject that is classified into subheadings such as elementary number theory, algebraic number theory, analytic number