How do I solve this problem without a given equation?












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Do I need an equation to figure out $x_2$ and $x_3$ values? Can the equation be obtained from the graph? Much thanks!
enter image description here










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    Not only can the values be obtained from the graph, but the problem suggests how to do it: draw tangent lines.
    – dbx
    Nov 25 at 1:56










  • Thanks for your help!
    – user597553
    Nov 25 at 2:35
















0














Do I need an equation to figure out $x_2$ and $x_3$ values? Can the equation be obtained from the graph? Much thanks!
enter image description here










share|cite|improve this question




















  • 2




    Not only can the values be obtained from the graph, but the problem suggests how to do it: draw tangent lines.
    – dbx
    Nov 25 at 1:56










  • Thanks for your help!
    – user597553
    Nov 25 at 2:35














0












0








0







Do I need an equation to figure out $x_2$ and $x_3$ values? Can the equation be obtained from the graph? Much thanks!
enter image description here










share|cite|improve this question















Do I need an equation to figure out $x_2$ and $x_3$ values? Can the equation be obtained from the graph? Much thanks!
enter image description here







calculus newton-raphson






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edited Nov 25 at 2:32









mathnoob

1,794422




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asked Nov 25 at 1:53









user597553

213




213








  • 2




    Not only can the values be obtained from the graph, but the problem suggests how to do it: draw tangent lines.
    – dbx
    Nov 25 at 1:56










  • Thanks for your help!
    – user597553
    Nov 25 at 2:35














  • 2




    Not only can the values be obtained from the graph, but the problem suggests how to do it: draw tangent lines.
    – dbx
    Nov 25 at 1:56










  • Thanks for your help!
    – user597553
    Nov 25 at 2:35








2




2




Not only can the values be obtained from the graph, but the problem suggests how to do it: draw tangent lines.
– dbx
Nov 25 at 1:56




Not only can the values be obtained from the graph, but the problem suggests how to do it: draw tangent lines.
– dbx
Nov 25 at 1:56












Thanks for your help!
– user597553
Nov 25 at 2:35




Thanks for your help!
– user597553
Nov 25 at 2:35










1 Answer
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If you draw the tangent to the curve at $x_1=6$, it looks like it will intersect the $x$ axis at $x_2=8$. Drawing the tangent at $x_2=8$ will intersect the $x$-axis at $x_3=7$






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    If you draw the tangent to the curve at $x_1=6$, it looks like it will intersect the $x$ axis at $x_2=8$. Drawing the tangent at $x_2=8$ will intersect the $x$-axis at $x_3=7$






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      If you draw the tangent to the curve at $x_1=6$, it looks like it will intersect the $x$ axis at $x_2=8$. Drawing the tangent at $x_2=8$ will intersect the $x$-axis at $x_3=7$






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        If you draw the tangent to the curve at $x_1=6$, it looks like it will intersect the $x$ axis at $x_2=8$. Drawing the tangent at $x_2=8$ will intersect the $x$-axis at $x_3=7$






        share|cite|improve this answer












        If you draw the tangent to the curve at $x_1=6$, it looks like it will intersect the $x$ axis at $x_2=8$. Drawing the tangent at $x_2=8$ will intersect the $x$-axis at $x_3=7$







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        answered Nov 25 at 2:22









        Andrei

        11.1k21026




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