I need to find the X-intercepts of:
Y= 3x^4 - 6x^2 + 5/3
Thank you for any help.
I have been away from any math for over five years so a step by step would be appreciated.
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I need to find the X-intercepts of:
Y= 3x^4 - 6x^2 + 5/3
Thank you for any help.
I have been away from any math for over five years so a step by step would be appreciated.
the x-intercepts occur where y = 0. note that this function is quadratic in x^2. if you say, let k = x^2 for instance, the result is:Quote:
Originally Posted by JDG1317
y = 3k^2 - 6k + 5/3
can you solve that for y = 0
I really don't even know what to do from there. Sorry for being a pain. I really should have relearned some of these skills before signing up for calc class.:(
use the quadratic formula.Quote:
Originally Posted by JDG1317
for a quadratic of the formthe roots (that is, the solution(s) to
) are given by:
use that to solve for k. when done, replace k with x^2 and solve for x
When I used the quadratic equation I got:
k= 3 and,
k= .6
When I replaced k with X^2 I get
X= +/- sqrt(3)
X= +/- sqrt(.6)
These answers don't match up with the intercepts when I check them on the graphing calc.
of course they don't match up. those answers are wrong. those are not the values for kQuote:
Originally Posted by JDG1317