Q.
If x3+3x2-9x+c is of the form x-α2x-β then the positive value of c is ____
see full answer
Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!
Real Strategies. Real People. Real Success Stories - Just 1 call away
An Intiative by Sri Chaitanya
answer is 5.
(Unlock A.I Detailed Solution for FREE)
Ready to Test Your Skills?
Check your Performance Today with our Free Mock Test used by Toppers!
Take Free Test
Detailed Solution
Here x=α isarepeatedrootoftheequation fx=0.Hence, x=α isalsoarootoftheequation f'x=0, i.e., 3x2+6x-9=0or x2+2x-3=0 or x+3x-1=0has the root α once which can be eitheer -3 or 1.If α=1, then fx=0 gives c-5=0 or c=5.If α=-3, then fx=0 gives -27+27+27+c=0∴ c=-27
Watch 3-min video & get full concept clarity