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plz help

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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

#1
+579
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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

Apr 14, 2022