Estimate root of given equations, Mathematics

Assignment Help:

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

 


Related Discussions:- Estimate root of given equations

Example of partial fraction decomposition, Example of Partial Fraction Deco...

Example of Partial Fraction Decomposition Evaluate the following integral. ∫ (3x+11 / x 2 -x-6) (dx) Solution: The 1 st step is to factor the denominator so far as

Word problem, Twins Olivia and Chelsea and their friend Rylee were celebrat...

Twins Olivia and Chelsea and their friend Rylee were celebrating their fourteenth birthdays with a party at the beach. The first fun activity was water games. As Nicole arrived, sh

Give the proofs in mathematics, Give the Proofs in Mathematics ? 1 Two...

Give the Proofs in Mathematics ? 1 Two-column deductive proof Proof: Statements                                                              Reasons * Start with given c

Largest number of vertices in a graph, a) Specify that a tree has at least ...

a) Specify that a tree has at least 2 vertices of degree 1.                               b) What is the largest number of vertices in a graph with 35 edges if all vertices are

Calculate average speed of a train, Calculate average speed of a train: ...

Calculate average speed of a train: What is the average speed of a train which completes a 450-mile trip in 5 hours? Solution: Using Equation 15: V av = s/t V a

Exponents, i need help with exponents and how to add them

i need help with exponents and how to add them

Logarithms, We know that 2 4 = 16 and also that 2 is referred to as ...

We know that 2 4 = 16 and also that 2 is referred to as the base, 4 as the index or power or the exponent. The same if expressed in terms of logarithms would be log 2

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd