SOLUTION: An algebric equation which is reducible to qudratic equation: X^6 - 9X^3 + 8 =0

Algebra.Com
Question 196774: An algebric equation which is reducible to qudratic equation:
X^6 - 9X^3 + 8 =0

Answer by RAY100(1637)   (Show Source): You can put this solution on YOUR website!
x^6 -9x^3 +8 =0
.
let y=x^3
.
y^2 -9y +8 =0
.
(y-8)(y-1) =0
.
y=8,,1
.
but,,,y=x^3
.
x^3 =8
.
x=2
.
x^3 =1
.
x=1
.

RELATED QUESTIONS

Here are 3 equations that I need you to check my answers on: #1) Solve this equation... (answered by Fombitz)
qudratic equation... (answered by jim_thompson5910)
Solve qudratic equation.... (answered by solver91311)
please solve the equation that is reducible to a quadratic equation.... (answered by texttutoring)
Solve using the qudratic equation.... (answered by solver91311,stanbon)
Hi, the problem i am having is with subsitution in a qudratic equation. x^2-xy=10 (1)... (answered by scott8148,mananth)
I'm supposed to solve the equation, {{{ (4/5)(x^2)=x, using the qudratic... (answered by ReadingBoosters)
Equations Reducible to Quadratic Form: Use the given substitution to solve the equation: (answered by mananth)
Rational algebric... (answered by rapaljer)