You can
put this solution on YOUR website!9x^4-21x^2+10=0
Let k = x^2
Equation becomes:
9k^2 - 21k + 10 = 0
This equations factors out to be:
(3k-5) * (3k-2) = 0
solve for k to get:
k = 5/3 or k = 2/3
Since we set k = x^2, then:
k = 5/3 is the same as x^2 = 5/3
k = 2/3 is the same as x^2 = 2/3
Solving for x, we get:
x = +/-
x = +/-
plug these into your original equation to see if they hold up.
your original equation is:
9x^4 - 21x^2 + 10 = 0
I plugged these values into that equation and they all proved to be true so the values are good.
For example:
When x =
, the equation becomes:
which becomes:
25 - 35 + 10 = 0 which becomes:
-10 + 10 = 0 which becomes:
0 = 0 confirming that the value of
is good.
Your answers are:
x = plus or minus
and:
x = plus or minus
