SOLUTION: so I am unsure how to do this. the worksheet says "find the real number solutions" and then gives me these equations 8x^4-x=0 and x^4=7x^2-18=0 if you could explain how to do

Question 695453: so I am unsure how to do this. the worksheet says "find the real number solutions" and then gives me these equations
8x^4-x=0
and
x^4=7x^2-18=0
if you could explain how to do that it would be much appreciated
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
find the real number solutions
:
8x^4 - x = 0
Factor out x
x(8x^3 - 1) = 0
this is difference of cubes, and can be factored
x(2x-1)(4x^2 + x + 1)
Two real solutions; (4x^2+x+1) will not yield a real solution)
x = 0
and
2x = 1
x = .5
:
and
x^4 + 7x^2 - 18 = 0
Factors to
(x^2 + 9)(x^2 - 2) = 0
Two real solutions, (x^2+9) will not yield real solutions
x^2 = 2
x = +
and
x = -
RELATED QUESTIONS
Find all real number solutions of the equation algebraically: {{{ sqrt (2x+1) }}} -... (answered by ankor@dixie-net.com,Alan3354)

Hello. Please help me ASAP- I need to turn this in quick. So I have a worksheet that says (answered by stanbon)

Dear Colleagues I have the following question to find a solution to: The length of a... (answered by ikleyn,Theo,greenestamps,MathTherapy)

This is from a worksheet. I do not understand how to do this at all. I have notes from my (answered by scott8148)

For my homework it says 'Find the value of x or y so that the line passing through the... (answered by ikleyn,greenestamps)

I have two questions both on quadratic equations. I am not understanding how to do them.... (answered by ankor@dixie-net.com)

Hi! My question is on the midpoint formula which is labeled under circles and parabolas... (answered by mananth)

I need help with this, I am not understanding the addition method of linear equations.... (answered by Fombitz)

Okay so I am a little stuck with two problems. It's been a while since I've done math and (answered by lwsshak3)