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the coefficient of the x^4 term in the expansion of (3x+a)^6 is 59535.

work out the possible values of a .

 Apr 14, 2022
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Expanding this would give us

\(729x^6+1458ax^5+1215a^2x^4+540a^3x^3+135a^4x^2+18a^5x+a^6\)

 

We know that the \(x^4\) is \(59535\)

 

So, \(1215a^2 = 59535\)

 

Giving us \(a^2=49 \)

 

\( a=\sqrt{49},\:a=-\sqrt{49}\)

 

\(a=7,\:a=-7\)

 

-Vinculum

 

smileysmileysmiley

 Apr 14, 2022

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