Answer:
Step-by-step explanation:
The equation represents the discriminant of a quadratic. It is the part taken from under the radical in the quadratic formula.
For any quadratic:
- If the discriminant is positive, or greater than 0, the quadratic has two solutions
- If the discriminant is equal to 0, the quadratic has one distinct real solution (the solution is repeated).
- If the discriminant is negative, or less than 0, the quadratic has zero solutions
In the graph, we see that the equation intersects the x-axis at two distinct points. Therefore, the quadratic has two solutions and the discriminant must be positive. Thus, we have .
-2(x^4 - 4r^3) should be the factor
Take -66 to the other side
3x = -5x + 112
Take -5x to the other side
8x = 112
Solve for x
x = 14
Hope that helps :)