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Problem: muller method 2x^3-2x-5 [ Calculator, Method and examples ]

Your problem `->` muller method 2x^3-2x-5

Here `2x^3-2x-5=0`

Let `f(x) = 2x^3-2x-5`


`x_0 = 1`

`x_1 = 2`

`x_2 = 1.5`

`1^(st)` iteration :









`b=a xx h_2 + d_2=9xx-0.5+16.5=12`


`x_3=x_2+(-2c)/(b +- sqrt(b^2-4ac))`

`x_3=x_2+(-2c)/(b +sign(b) sqrt(b^2-4ac))`

`=1.5+(-2 xx -1.25)/(12 + sqrt(12^2 - 4xx 9 xx -1.25))`

`=1.5+(2.5)/(12 + sqrt(189))`

`=1.5+(2.5)/(12 + 13.7477)`


Relative percent error
`varepsilon_(a^1)=|(x_3-x_2)/x_3| xx 100%=|(1.5971-1.5)/1.5971| xx 100%=6.0795%`




`2^(nd)` iteration :








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