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
Algebra ->
Polynomials-and-rational-expressions
-> 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
Log On
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 = -
