Request a call back

# CBSE Class 11-science Answered

if 2a+3b+6c=0(a,b,c are real),then the quadratic equation ax2+bx+c=0 has-
Asked by abhilipsa satpathy | 16 Jun, 2013, 03:20: PM Expert Answer
Consider F(x) = (a/3)x3 + (b/2)x2 + cx
Now, F(1) = a/3 + b/2 + c = 1/6(2a + 3b + 6c) = 0 , by using the given condition.
F(0) = 0
Hence, Rolle's theorem is satified.
Thus, by Rolle's theorem, there exists at least one root in [0. 1] such that F'(x) = 0
Here, F'(x) = ax2 + bx + c
Answered by | 16 Jun, 2013, 10:31: PM

## Concept Videos

CBSE 11-science - Maths
Asked by simrangurdasani05 | 17 Jul, 2022, 03:39: AM ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by rajshekhara348 | 20 Jun, 2022, 11:23: PM ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by sandeepkumarbhadauria41 | 15 Sep, 2021, 02:52: PM ANSWERED BY EXPERT
CBSE 11-science - Maths
Please solve all of these questions with proper explanation Asked by Suchismitasingha18 | 07 Aug, 2021, 04:44: PM ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by yogineepawar2002 | 19 Apr, 2021, 10:09: AM ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by gurjarg3619 | 22 Mar, 2021, 10:55: AM ANSWERED BY EXPERT
CBSE 11-science - Maths
questions 6 Asked by sohailsidmd002 | 11 Oct, 2020, 02:35: PM ANSWERED BY EXPERT
CBSE 11-science - Maths
find the value of p and q if the equation px²+5x+2=0 and 3x²+10x+q=0 have both roots in common. Asked by ssroul.tcbls | 02 Jul, 2020, 07:15: PM ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by avinashjha3012 | 22 Jun, 2020, 05:41: PM ANSWERED BY EXPERT
CBSE 11-science - Maths
Asked by drhimasingh | 26 May, 2020, 11:31: PM ANSWERED BY EXPERT