Use Newton's method to approximate a root of the equation 2x + 5x +3 = 0 as follows. Let r = 1 be the initial approximation. The second approximation r2 is %3D and the third approximation r3 is (Although these are approximations of the root, enter exact expressions for each approximation.)

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Use Newton's method to approximate a root of the equation
2x + 5x + 3 = 0 as follows.
Let r1 = 1 be the initial approximation.
The second approximation x2 is
and the third approximation x3 is
(Although these are approximations of the root, enter exact
expressions for each approximation.)
Transcribed Image Text:Use Newton's method to approximate a root of the equation 2x + 5x + 3 = 0 as follows. Let r1 = 1 be the initial approximation. The second approximation x2 is and the third approximation x3 is (Although these are approximations of the root, enter exact expressions for each approximation.)
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