wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

If x5 is the factor of quadratic equation 2x2+px13=0 and the quadratic equation p(x2+x)+k=0 . Find the value of k.

Open in App
Solution

2x2+px13=0 ---- ( 1 )
p(x2+x)+k=0 ---- ( 2 )
x5 is roots of the equation.
substituting x=5 in given quadratic equation ( 1 )
2(5)2+p(5)13=0
50+5p13=0
37+5p=0
p=375
Now, substituting x=5 and p=375 in equation ( 2 )
375[(5)2+5)]+k=0
375[25+5]+k=0
37(30)+5k=0
1110+5k=0
5k=1110
k=222

flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Solving QE by Factorisation
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon