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

If α,β are the roots of the quadratic equation x27x+12=0. Then the equation with roots α,β is

A
x2+7x+12=0
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
x27x+12=0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
x2+7x12=0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
x27x12=0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A x2+7x+12=0
Given: x27x+12=0 with roots α,β
To find: Quadratic equation with roots α,β

Sum of roots α+β=ba=71=7

Product of roots αβ=ca=121=12

Now, quadratic equation with roots α,β will be given as:
x2(αβ)x+(α)(β)=0

x2+(α+β)x+α.β=0

x2+7x+12=0

Hence, quadratic equations with roots α,β is x2+7x+12=0

flag
Suggest Corrections
thumbs-up
5
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Transformation of Roots: Linear Combination of Roots
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon