Show that the expression (ax-b)*(cx-d)/(bx-a)*(dx-c) can have all the values for real x if (a*a)-(b*b) and (c*c)-(d*d) have the same sign.

2 years ago

Share

Answers : (1)

                                        Hello student,
Please find the answer to your question below
Given(ax-b)*(cx-d)/(bx-a)*(dx-c)
=(acx2-(ad+bc)x+bd)/bdx2-(bc+ad)x+ac
=x2-((d/c)+(b/a))x+(bd/ac)/x2-((c/d)+(a/b))x+(ac/bd)
So by finding the discriminant of the equation from the above we can observe that
the expression (ax-b)*(cx-d)/(bx-a)*(dx-c) can have all the values for real x if (a*a)-(b*b) and (c*c)-(d*d) have the same sign.
19 days ago

Post Your Answer

More Questions On Algebra

Ask Experts

Have any Question? Ask Experts
Post Question
 
Answer ‘n’ Earn
Attractive Gift
Vouchers
To Win!!!
Click Here for details
The solution set of equation mod(1-log 1/6 x)+2=mod(3-log 1/6 x) is?
 
 
Ans: Hello Student, Please find answer to your question below Domain: x > 0 0 < x < 1/216 x > 1/6 So x should be less than 1/6.
  img
Jitender Singh one month ago
Let a1, a2, a3, ….. be an A.P. Prove that
 
 
Hello student, Please find the answer to your question below Iam explaining every step again here Let d be the common difference in AP So d=a2-a1=a3-a2=a4-a3=........=a2m-a2m-1 Now a 1 2 -a...
  img
SHAIK AASIF AHAMED one month ago
 
Hello student, Please find the answer to your question below Let d be the common difference in AP So d=a2-a1=a3-a2=a4-a3=........=a2m-a2m-1 Now a 1 2 -a 2 2 +..............+a 2m-1 2 -a 2m 2...
  img
SHAIK AASIF AHAMED one month ago
 
I didn’t understood this step ) 1 -a 2m )/(a 2 2m -a 2 1 )=dm(a 2 2m -a 2 1 -dm(a plzz...explain And also in this step )=-d(a1+a2+.........+a2m) 2m -a 2m-1 )(a 2m +a 2m-1...
 
Shibashis Mallik one month ago
If a
 
 
Hello student, Please find my response to your question below: Iam not able to interpret your query. Your question is not clear and seems to be incomplete. Please check the question and...
  img
SHAIK AASIF AHAMED one month ago
Let the harmonic mean and geometric mean of two positive numbers be the ratio 4 : 5. Then the two number are in the ratio=
 
 
Hello Student, Please solve for t Thanks & Regards Arun Kumar Btech, IIT Delhi Askiitians Faculty
  img
Arun Kumar 2 months ago
evaluate integral of f.dr where f=yi+(x^2+y^2)j and c is the arc of the curve y=x^4-4 from (2,0) to (4,2).
 
 
Taking limits 5.33 Arun Kumar IIT Delhi Askiitians Faculty
  img
Arun Kumar 4 months ago
Let f be a real valued function satisfy f(x) + f(x+4) = f(x+2) + f(x+6) Prove that limit (x to x+8) ∫f(t)dt is constant
 
 
Ans:Hello student, please find answer to your question …..(1) …......(2) (1) + (2) is constant
  img
Jitender Singh 2 months ago
View all Questions »