SOLUTION: Hi, I'm currently on binomials. What should I do to solve this? "When (3a+x2)6 is expanded, the coefficient of the term in x4 is 19440. Find the value of a."

Algebra.Com
Question 853999: Hi, I'm currently on binomials. What should I do to solve this?
"When (3a+x2)6 is expanded, the coefficient of the term in x4 is 19440. Find the value of a."

Found 2 solutions by ewatrrr, Vladdroid:
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
729x^6 + 1458a^5x^2 + 1215a^4x^4 ....
19440/1215 = 16 ⇒ a^4 = 16, a = 2

Answer by Vladdroid(91)   (Show Source): You can put this solution on YOUR website!
729x^6 + 1458a^5x^2 + 1215a^4x^4 ....
19440/1215 = 16 ⇒ a^4 = 16, a = 2

RELATED QUESTIONS

My homework is :1) X2-2x-13=0 and 2) X2+12x-64=0. I am do use six steps of 1) move... (answered by richwmiller)
The Binomial Theorem...When (2a + b)^8 is expanded, what is the coefficient of the term... (answered by scott8148)
I am trying to understand if the equation I have done is anywhere near correct. I think... (answered by ReadingBoosters,MathTherapy)
Hey there, I’m not sure if this is the correct category for this question, but I’m not (answered by ikleyn)
Use FOIL to multiply: (4x – 9)(3x – 5) As you should already know, FOIL means,... (answered by ankor@dixie-net.com,AmberLRO)
I am not very good at math and need a lot of help and detail! I think to hard on every... (answered by KMST)
do a constant polynomial have leading term, leading coefficient ? if yes then what will... (answered by Boreal)
Can someone help me to solve this? When (1-3x)^n is expanded, the coefficient of x^2 is... (answered by MathTherapy)
When (2a + b)^8 is expanded, what is the coefficient of the term a^3 b^5 Hint:... (answered by jim_thompson5910)