To simplify this equation, you can rewrite it as x^2(x^2 - 1) = k and then factor out the common term x^2. This will leave you with x^2 = k / (x^2 - 1). You can then use the quadratic formula to solve for x^2 and then take the square root to find the values of x.
The first step is to rearrange the equation to get it in the form x^4 - x^2 - k = 0. This makes it easier to factor and solve for x.
Yes, you can use the quadratic formula to solve this equation. However, you will end up with two solutions for x^2, so you will need to take the square root of both solutions to get the values for x.
Yes, you can also use the substitution method by letting y = x^2 and solving for y. Once you have the values of y, you can then substitute them back into the original equation to find the values of x.
You can check your solution by plugging the values of x back into the original equation and seeing if it equals the given value of k. You can also graph the equation and see if the x-intercepts match your solutions.