for what value of M one zeroes of the quadratic polynomial x square - 6 X + M be double of the other
anshika1673:
plz solution fast
Answers
Answered by
5
Answer:
Step-by-step explanationtour solution is below socheck it. Alpha aur beta consider 2 roots :
Attachments:
Answered by
5
OK so ,let a and b are roots of x^-6x+a=0......
let a and you are roots of x^-cx+6=0......
so, (1) a+b=6.........(1)
ab=a............(2)
a+y=c............ (3)
a.y=6............. (4)
b/y=4/3.......... (5)
(2) now, using (2) and (3)
ab/ay=a/6
=b/y=a/6
=using6 (v) 4root3 =a/6
=so,a =8
(3) now x^-6x+a=o.....
x^- 6x +8=0
x=2 or 6
as a.b =8 so... a =2
let a and you are roots of x^-cx+6=0......
so, (1) a+b=6.........(1)
ab=a............(2)
a+y=c............ (3)
a.y=6............. (4)
b/y=4/3.......... (5)
(2) now, using (2) and (3)
ab/ay=a/6
=b/y=a/6
=using6 (v) 4root3 =a/6
=so,a =8
(3) now x^-6x+a=o.....
x^- 6x +8=0
x=2 or 6
as a.b =8 so... a =2
Similar questions