0

Guest

Courses New

The no. of roots of ( equation in image) in [0,1] are ? Image attached

The no. of roots of ( equation in image) in [0,1] are ? 
Image attached 

Question Image
Grade:12

1 Answers

Jitender Singh IIT Delhi
askIITians Faculty 158 Points
9 years ago
Ans:
Hello Student,
Please find answer to your question below,

f(x) = x^{3}-3x+1
f(0) = (0)^{3}-3.(0)+1
f(0) = 1
f(1) = (1)^{3}-3(1)+1
f(1) = 1
So there is an atleast one root lie between 0 and 1.
x^3-3x+1=0
x = .3473, 1.53209, -1.879

So there is only one root .3473 between 0 and 1.

Think You Can Provide A Better Answer ?

Other Related Questions on Differential Calculus

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More