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Numerade Educator

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Problem 23 Medium Difficulty

Use Newton's method to find all the solutions of the equation correct to eight decimal places. Start by drawing a graph to find initial approximations.

$ -2x^7 - 5x^4 + 9x^3 + 5 = 0 $

Answer

$x=-1.6931203,-0.74466668,1.2658709$

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Video Transcript

we know the first thing we can do is we can take the derivative, which we can. Rightist off prime of acts is negative. 14 next to the sex minus 20 X Cube plus 27 x squared. We know our first estimate for acts can be negative 1.8 using the formula. This is what we're putting into divide by the derivative. Do the same thing with negative 0.8 this time, which is our next zero. And then lastly, with 1.2, we can conclude our three axes to be negative. 1.69 31203 Negative 0.744 66668 in 1.265 it's 709