Find the solutions to x⁴-5x²-36=0 and the x-intercepts of the graph of y=x⁴-5x²-36.

The solutions are and the x-intercepts of are

Step-by-step explanation:

Finding the solutions to means finding the roots, a root is where the function is equal to zero.

The x-intercept is the point at which the graph crosses the x-axis. At this point, the y-coordinate is zero.

To find the roots you need to:

Rewrite the equation with and

Solve by factoring

Using the Zero factor Theorem: if ab = 0 then a = 0 or b = 0 (or both a = 0 and b = 0)

The solutions to the quadratic equation are:

Substitute back , solve for x

Apply the difference of squares formula

Using the Zero factor Theorem: if ab = 0 then a = 0 or b = 0 (or both a = 0 and b = 0)

The solutions are:

Because two of the solutions are complex roots the only x-intercepts are

jml angle lkj & angle mj = lm