Question Details

If x = k, is the solution of the equation :

4x-5x-17=3+x, then what is the value of 11k+1811k-12 ?

Options

A

49

B

12

C

34

D

58

Show Answer

Correct Answer :

Option D

58

Solution :

The correct option is 58.


Given equation:

4x-5x-17=3+x


Combining the fractions on the left-hand side:

4(x-17)-5xx(x-17)=3+x


-x-68x2-17x=x+3


Cross-multiplying gives:

-x-68=(x+3)(x2-17x)


Solving this polynomial equation gives the solution x=k=-6811.


Now, substituting k=-6811 into the expression 11k+1811k-12:


11-6811+1811-6811-12=-68+18-68-12


=-50-80=58

Unlock Our Free Library

Access expert-curated educational resources and study materials—completely free.

Discover more resources

You may also like

Mock Tests

View All
  • CTET
  • intermediate
  • No time limit
  • child development and pedagogy, mathematics, social science

  • SSC
  • intermediate
  • 2 hours and 30 mins
  • child development and pedagogy, mathematics, social science

Ask AI Tutor
5 left
Q1 View Question & Options
AI Tutor is solving this question...
Reading question context & options...