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

A graph with a positive slope, A graph with a positive slope shows that the...

A graph with a positive slope shows that the variables depicted on the axes goes in the similar directions.

Unionz, Need a problem solved

Need a problem solved

Geometric mean, When three quantities a, b and c are in G.P., t...

When three quantities a, b and c are in G.P., then the geometric mean "b" is calculated as follows. Since these quantities are in G.P., the r

How many more cm are required to reach the average monthly, Thomas is remai...

Thomas is remaining track of the rainfall in the month of May for his science project. The first day, 2.6 cm of rain fell. On the second day, 3.4 cm fell. On the third day, 2.1 cm

What was the total cost of the copies, Mary made 34 copies at the local off...

Mary made 34 copies at the local office supply store. The copies cost $0.06 each. What was the total cost of the copies? Multiply 34 by $0.06 to ?nd out the total cost; 34 × $0

Minimum and maximum values, Minimum and Maximum Values : Several applicati...

Minimum and Maximum Values : Several applications in this chapter will revolve around minimum & maximum values of a function.  Whereas we can all visualize the minimum & maximum v

Equivalence relation, a) Let V = f1, 2, :::, 7g and define R on V by xRy if...

a) Let V = f1, 2, :::, 7g and define R on V by xRy iff x -  y is a multiple of 3. You should know by now that R is an equivalence relation on V . Suppose that this is so. Explain t

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