Question: If the equation (1 + m 2 ) x 2 + 2mcx + c 2 a 2 = 0 has equal roots, show that

If the equation (1 + m2) x2 + 2mcx + c2 – a2 = 0 has equal roots, show that

c2 = a2 (1 + m2).

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

The detailed answer for the above question is provided below ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Q:

If lim tan(x-2)(x + (k- 2)x- 2k) ATIC 73 lfa,Bare the roots of the equation, the A+2 Jr. is equal to -4x +4 =5, then k 1-cos(ar +hx +e) (x-ay I) a (a-B) 1) 0 79. If (x) 2) 1 lim 3) 2 4) 3 2) 4a' (u-...

Q:

This circle.

Q:

26. The expression 2x2 +4x+7 has minimum value m at x = a. The ordered pair ( a,m) is 1) ( 1, 5) 3) ( 1, 5 ) 2) ( 1, 5) 4) ( 1, 5 ) 27. The set of values of x for which the inequalities x -3x -10...

Q:

Solve the equation. 1. 3 csc x - 2 = 0 2. tan x + 3 = 0 3. cos x + 1 = -cos x 4. 3 sin x + 1 = sin x 5. 3 sec2 x - 4 = 0

Q:

a. On the same grid, sketch the graphs of y = |1 + 4 cos x| and y = 2 + cos x for 0 x 360. b. State the number of roots of the equation |1 + 4 cos x| = 2 + cos x for 0 x 360.

Q:

4 The value of x that satisfies the equation 1 6 2 10 x 10 15 3 5 is 4 30

Q:

Find the equation 1 KIN 2 A y sin x 2 B y sin x 1 C y sin x D y sin x 2

Q:

A y cos x 2 C y cos x Find the equation 1 EN 2 B y cos x TT 2 D y cos x TT m

Q:

Consider the equation 3 - cot z = 0. Find all the values of z in the interval [0, 2x] that satisfy the equation. Note: Write the exact answer but not the approximate value (For example write _ or 4/5...

Q:

Please answer the given problems. Answer letter A and B. Show your step-by-step solution on how you get the answers. Thank you. A. Given the equation (1 + tan x)(14cot x) = sin x sec x, solve for the...

Q:

Explain why it is important for an engineer to know whether there are easements on a piece of property that they are designing a structure for, and what they should do if there are easements on the...

Q:

TLW Consulting has been concerned about declining profitability and the president has asked you to evaluate productivity over the past two years. After several weeks, you have managed to collect the...

Q:

Evaluate some of the theoretical frameworks that have been used to explain the HRM performance in organizations.

Q:

Create rewards structure for the sales and marketingdepartments for a company of your choosing. Attention should be placed on creating a strategy that not only builds continuity among the 2...

Q:

Flip a coin 100 times and set X = # of heads. (a) How many sequences of 100 coin flips include exactly 50 heads? (b) What is the probability of a single sequence of 100 flips with exactly 50 heads?...

Q:

Under ERISA, which is the federal law that governs private pension plans, employees typcially must become \"vested\' in their benefits within how many years?

Q:

An engagement letter should ordinarily include information on the objectives of the engagement and

Q:

Suppose the index goes to 18 percent in year 5. What is the effective cost of the unrestricted ARM?

Q:

Determine the principal value of the argument and graph it as in Fig. 325. -1 + 0.1i, -1 - 0.1i pl+i /4

Q:

Graph a sample space for the experiments: Rolling a die until the first Six appears

Q:

Find the cosine transform f c of f(x) = 1 if 0 2.

Q:

Zachary Corporation's December 31, 2018 balance sheet included the following amounts: Cash $ 20,400 Retained earnings 105,600 Zachary's accountant provided the following data for 2019:...

Q:

Dunn Sporting Goods sells athletic clothing and footwear to retail customers. Dunn's accountant indicates that the firm's operating cycle averages 6 months. At December 31, 2019, Dunn has the...

Q:

An analysis of the transactions of Cavernous Homes Inc. yields the following totals at December 31, 2019: cash, $3,200; accounts receivable, $4,500; notes payable, $5,000; supplies, $8,100; common...