The positive value of k for which x² +Kx +64 = 0 & x² - 8x + k = 0 will have real roots .

Ans: x² + Kx + 64 = 0

⇒ b² -4ac > 0

K² - 256 > 0

K > 16 or K < - 16                        ...............(1)

x² - 8x + K = 0

64 - 4K > 0

⇒ 4K < 64

K < 16                                       ...............(2) From (1) & (2)  K = 16

 

Posted Date: 4/8/2013 3:29:38 AM | Location : United States

Ask an Expert

Related Discussions:- Estimate root of given equations, Assignment Help, Ask Question on Estimate root of given equations, Get Answer, Expert's Help, Estimate root of given equations Discussions

Write discussion on Estimate root of given equations
Your posts are moderated

Write your message here..

Related Questions

Direction field for the differential equation, We require to check the deri... We require to check the derivative thus let's use v = 60. Plugging it in (2) provides the slope of the tangent line as -1.96, or negative. Thus, for all values of v > 50 we will ha

Extrema- minimum and maximum values, Extrema : Note as well that while we ... Extrema : Note as well that while we say an "open interval around x = c " we mean that we can discover some interval ( a, b ) , not involving the endpoints, such that a Also,

Consumer behaviour, what is consumer behaviour according to accounting what is consumer behaviour according to accounting

Algebraic models, Establish appropriate algebraic models for each of the fo... Establish appropriate algebraic models for each of the following sets of data. You can use technology to assist. Plot them on grids and demonstrate how you have established each mo

Bachet equation, Explain Bachet Equation? Explain Bachet Equation?

Ampltude and period, find the amplitude and period of y=3 sin 2 pi x find the amplitude and period of y=3 sin 2 pi x

Fractions, if you have 1/5 of a candy bar and 4 friends how much will they ... if you have 1/5 of a candy bar and 4 friends how much will they get

Converting., I need help converting my project fractions into 1 I need help converting my project fractions into 1

Inverse cosine, Inverse Cosine : Now see at inverse cosine.  Following is ... Inverse Cosine : Now see at inverse cosine.  Following is the definition for the inverse cosine.                         y = cos -1 x       ⇔ cos y = x                   for

Developing an understanding of subtraction, DEVELOPING AN UNDERSTANDING O... DEVELOPING AN UNDERSTANDING OF SUBTRACTION :  The process of subtraction is the reverse of that of addition. Adding more to a collection to make it bigger is just the reverse