SOLUTION: Can you help me solve for real roots? 2x^8+15x^4=27
Algebra
->
Radicals
-> SOLUTION: Can you help me solve for real roots? 2x^8+15x^4=27
Log On
Algebra: Radicals -- complicated equations involving roots
Section
Solvers
Solvers
Lessons
Lessons
Answers archive
Answers
Click here to see ALL problems on Radicals
Question 766857
:
Can you help me solve for real roots?
2x^8+15x^4=27
Answer by
tommyt3rd(5050)
(
Show Source
):
You can
put this solution on YOUR website!
u=x^4
2u^2+15u-27=0
2u^2+18u-3u-27=0
2u(u+9)-3(u+9)=0
(2u-3)(u+9)=0
but u+9 contributes no real roots
2u-3=0
u=3/2
x^4 = 3/2
x^2 = +- sqrt(3/2)
from which we use the principal root
thus
or