SOLUTION: By using the Newton-Raphson’s method find the root of the quadratic equation X^3+logx to base 10 = 0 upto 3 decimal places . And plz suggest me how to find that the root lies bet

Algebra ->  Probability-and-statistics -> SOLUTION: By using the Newton-Raphson’s method find the root of the quadratic equation X^3+logx to base 10 = 0 upto 3 decimal places . And plz suggest me how to find that the root lies bet      Log On


   



Question 1001469: By using the Newton-Raphson’s method find the root of the quadratic equation
X^3+logx to base 10 = 0 upto 3 decimal places . And plz suggest me how to find that the root lies between this to this

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
It's not a quadratic equation, it's a non-linear equation.
If it was quadratic, you could use the quadratic formula.
First find the derivative.
f%28x%29=x%5E3%2Blog%28x%29
df%2Fdx=3x%5E2%2B1%2Fx
Graph the equation to find what starting value you should choose for the iteration.
It looks like the root is between 0 and 1.
I'll choose x%5B0%5D=1 since the function and derivative are not defined at x=0
.
I let the iterations run until the change in successive x values was less than 10%5E%28-6%29.
.