Two speakers, which are in phase with one another, broadcast identical sound waves at a frequency of $170$ Hz $.$ Assume the speed of sound to be $\backslash (340\backslash$mathrm$\{$~m$\}/\backslash$mathrm$\{$s$\}\backslash ).$ The speakers are pointed at one another.Part $($a$)$

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Speaker $\backslash ($ A $\backslash )$ is positioned at $\backslash ($ x$=0\backslash$mathrm$\{$~m$\}\backslash ),$ and speaker $\backslash ($ B $\backslash )$ is located at $\backslash ($ x$=+14\mathrm{.}40\backslash$mathrm$\{$~m$\}\backslash ).$

In between the speakers, there are a few locations at which the two waves produce completely destructive interference. What is the $\backslash ($ x $\backslash )-$coordinate of the point closest to speaker $\backslash ($ B $\backslash )$ at which completely destructive interference occurs?

$\backslash (\backslash$mathrm$\{$x$\}=\backslash$quad $\backslash$mathrm$\{$m$\}\backslash )$

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