Solve x^3 -5x-7=0 by regular falsi method
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Step-by-step explanation:
Here, x
3
−5x−7=0
Let f(x)=x
3
−5x−7
First Iteration:
Here, f(2)=−9<0 and f(3)=5>0
Now, Root lies between x
0
=2 and x
1
=3
x
2
=x
0
−f(x
0
)×
f(x
1
)−f(x
0
)
x
1
−x
0
=2−(−9)×
5−(−9)
3−2
=2.64286
Second Iteration:
Here, f(2.64286)=−1.75474 and f(3)=5>0
Now, Root lies between x
0
=2.64286 and x
1
=3
x
3
=x
0
−f(x
0
)×
f(x
1
)−f(x
0
)
x
1
−x
0
=2.64−(−1.75)×
5−(−1.75)
3−2.64
=2.73564
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