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

If α,β are the roots of quadratic equation x2+3x+8=0. Find the equation with roots α5 and β5

A
x2+13x+40=0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
x2+15x+56=0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
x2+13x+48=0
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
x2+11x+36=0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C x2+13x+48=0
A quadratic equation ax2+bx+c=0 with roots α,β is transformed for the roots αk and βk where kR,
is given by a(xk)2+b(xk)+c=0

Here, a=1,b=3,c=8,k=5

1(x+5)2+3(x+5)+8=0

x2+10x+25+3x+15+8=0

x2+13x+48=0

Hence, required quadratic equation is x2+13x+48=0

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Relations Between Roots and Coefficients
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon