SOLUTION: The equation (8x^8)(e^-6)-(3x^9)(e^-6)=0 has two roots.

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: The equation (8x^8)(e^-6)-(3x^9)(e^-6)=0 has two roots.      Log On


   

Question 998940: The equation (8x^8)(e^-6)-(3x^9)(e^-6)=0 has two roots.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
+%288x%5E8%29%28e%5E-6%29-%283x%5E9%29%28e%5E-6%29=0.............write e%5E%28-6%29 as 1%2Fe%5E6

+8x%5E8%2Fe%5E6-3x%5E9%2Fe%5E6=0
+%288x%5E8-3x%5E9%29%2Fe%5E6=0
+%288x%5E8-3x%5E9%29=0%2Ae%5E6
+%288-3x%29x%5E8=0
solutions:
if +%288-3x%29=0=> 8=3x=>highlight%28x=8%2F3%29
if +x%5E8=0=>highlight%28x=0%29 ( same solutions repeats eight times)

+graph%28+600%2C+600%2C+-5%2C+5%2C+-10%2C+10%2C+%288x%5E8-3x%5E9%29%2Fe%5E6%29+