Home
Class 11
MATHS
Find the value of k, so that the equatio...

Find the value of k, so that the equation `2x^(2)+kx-5=0 and x^(2)-4x+4=0` may have one root common.

Text Solution

Verified by Experts

The correct Answer is:
`k=3 or (-27)/(4)`
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    ICSE|Exercise EXERCISE 10 (e)|4 Videos
  • QUADRATIC EQUATIONS

    ICSE|Exercise EXERCISE 10 (f)|9 Videos
  • QUADRATIC EQUATIONS

    ICSE|Exercise EXERCISE 10 (c)|30 Videos
  • PROPERTIES OF TRIANGLE

    ICSE|Exercise EXERCISE 7|38 Videos
  • RELATION AND FUNCTIONS

    ICSE|Exercise MULTIPLE CHOICE QUESTIONS (Choose the correct answer from the given four options in questions)|32 Videos

Similar Questions

Explore conceptually related problems

Find the value of k , so that the equation 2x^2+kx-5=0 and x^2-3x-4=0 may have one root in common.

Find the value of lamda so that the equations x^(2)-x-12=0 and lamdax^(2)+10x+3=0 may have one root in common. Also, find the common root.

Find the value of k so that the equation 2x^(2)-5x+k=0 has two equal roots.

For what value of k will be the equations x^(2)-kx-21=0 and x^(2)-3kx+35=0 have one common root.

Determine the values of m for which the equations 3x^(2)+4mx+2=0 and 2x^(2)+3x-2=0 may have a common root.

The equation kx^(2)+x+k=0 and kx^(2)+kx+1=0 have exactly one root in common for

For which value of k will the equations x^(2)-kx-21=0 and x^(2)-3kx+35=0 have one common root ?

If the equations 2x^(2)-7x+1=0 and ax^(2)+bx+2=0 have a common root, then

Find the value(s) of k so that, the quadratic equation x^2 - 4kx + k = 0 has equal roots.