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.Al...
For example, we may want to know if the related graph intersects thex-axis and, if it does, at how many points. We get that information from the number of solutions of a quadratic equation! How to find the number of solutions to a quadratic equation Okay, so you’ve found yourself in...
Use the discriminant to determine the number of real solutions of the equation. Do not solve the equation. $$4x^2 + 5x + \dfrac{13}{8} = 0 $$ Nature of Solutions of a Quadratic Equation Algebraically, a quadratic equation is...
NCERT solutions for CBSE and other state boards is a key requirement for students. Doubtnut helps with homework, doubts and solutions to all the questions. It has helped students get under AIR 100 in NEET & IIT JEE. Get PDF and video solutions of IIT-JEE Mains & Advanced previous year pap...
NCERT solutions for CBSE and other state boards is a key requirement for students. Doubtnut helps with homework, doubts and solutions to all the questions. It has helped students get under AIR 100 in NEET & IIT JEE. Get PDF and video solutions of IIT-JEE Mains & Advanced previous year pap...
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...
Find the discrimingnt of each quadratic equation then state the number of real and imaginary solutions.21)$$ - x ^ { 2 } - 9 = 6 x 2 5 ) - 9 x ^ { 2 } = - 8 x + 8 $$22)$$ 4 x ^ { 2 } = 8 x - 4 2 6 ) 9 x ^ { 2 } + 6 x + 6 = 5 $$23)$$ ...
The type of the solution of a quadratic equation can be determined by a standard value that is called the discriminant value. D=b2−4ac If D>0, then the solutions are real and distinct. If D<0, then the solutions are imaginary. ...
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...
Some contain solutions to construction problems such as the calculation of areas or volumes. Others relate to business or legal matters such as the computation of interest or the division of estates. Some were tables of multiplication or squares or square roots, whereas others gave the circumference...