Example 1: Find the root(s) of the function f(x)=x²-2.5x+1.5625 to s=1x10-6. Solution: Check the sign of f(x) at different values of .x: - 1 0 1 f(x) 5.06.. 1.56.. 0.06.. X 2 0.56.. 3 4 3.06.. 7.56..

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Example 1: Find the root(s) of the function f (x) =x² – 2.5x +1.5625 to ɛ=1×10-°.
Solution:
Check the sign of f(x) at different values of x:
- 1
1
2
3
4
f(x) 5.06..
1.56..
0.06..
0.56.. 3.06.. 7.56..
Transcribed Image Text:Example 1: Find the root(s) of the function f (x) =x² – 2.5x +1.5625 to ɛ=1×10-°. Solution: Check the sign of f(x) at different values of x: - 1 1 2 3 4 f(x) 5.06.. 1.56.. 0.06.. 0.56.. 3.06.. 7.56..
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