CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

If the sum and product of roots of the quadratic equation ax2−5x+c are both equal to 10, find the value of a and c.

A
2,3
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
13,5
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
12,5
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
3,5
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C 12,5
ax25x+c=0
Here, b=5
Sum of the roots =ba=(5)a=5a
and product of the roots =ca
According to the given, we have
5a=10a=510=12
and ca=10c=10.a=10×12=5

a=12 and c=5

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Relationship between Zeroes and Coefficients of a Polynomial
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon