Use​ Newton's method to approximate all the intersection points of the following pair of curves. Some preliminary graphing or analysis may help in choosing good initial approximations.   y=1/x and y=25−4x2 The graphs intersect when x≈? enter your response here. ​(Do not round until the final answer. Then round to six decimal places as needed. Use a comma to separate answers as​ needed.)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Use​ Newton's method to approximate all the intersection points of the following pair of curves. Some preliminary graphing or analysis may help in choosing good initial approximations.
 
y=1/x
and
y=25−4x2
The graphs intersect when
x≈?     enter your response here.
​(Do not round until the final answer. Then round to six decimal places as needed. Use a comma to separate answers as​ needed.)
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