Consider the polynomial p(x)=x⁴-3x²-4.what are the solutions to x⁴-3x²-4=0.

The solutions are and .

Step-by-step explanation:

We have the following equation:

.

The first step to solve this problem is using

We replace in the equation 1, find the values of y, and then we replace in equation 2) to find the values of x.

To solve the equations, it is important to know how we find the roots of a second order polynomial.

Given a second order polynomial expressed by the following equation:

This polynomial has roots such that , given by the following formulas:

In this problem, we have

So

So:

The values of y are

We also have that:

So

And

There is no real solution for this. So our only solutions are and .

step-by-step explanation:

∆abc has the points a(1, 7), b(-2, 2), and c(4, 2) as its vertices. formed with the point d(1, 2) as its third vertex, then ∆abd is triangle.