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

A quadratic equation ax2+bx+c=0,a0 have the roots α and β. Find the transformed equation with roots α and β.

A
ax2+bx+c=0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
ax2bx+c=0
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
None of the above
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
bx2ax+c=0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B ax2bx+c=0
Given: ax2+bx+c=0,a0
To find: Transformed equation with roots α and β.

When roots are α and β , then

Sum of roots =αβ=ba

=(α+β)=ba

Product of roots =(α).(β)=ca

=α.β=ca

Transformed quadratic equation,
x2{(α+β)}x+α.β=0

x2+(ba)x+(ca)=0

ax2bx+c=0

Hence, Transformed equation with roots α and β is ax2bx+c=0

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Transformation of Roots: Algebraic Transformation
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon