An algebra problem by Pranay Kr

Algebra Level 3

x 3 6 x 2 + a x + a = 0 \large x^3-6x^2+ax+a=0

Let a a be a real number, and r 1 r_1 , r 2 r_2 , r 3 r_3 the roots of the equation above. It is known that ( r 1 3 ) 3 + ( r 2 3 ) 3 + ( r 3 3 ) 3 = 0 (r_1-3)^3+(r_2-3)^3+(r_3-3)^3=0 . Compute a a .


The answer is -9.

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

0 solutions

No explanations have been posted yet. Check back later!

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...