The root sof this quadratic equation are -4 and 2.5.
The roots of any quadratic can be found by using the quadratic equation. The equation is below for you.
In this equation you use the number attached to x^2 as the a, which in this case is -2. The number attached to x as b, which is in this case -3. And the number at the end as c, which is 20. From there you solve for the answers.
Now you separate and get the two separate answers. First the positive.
4
Now the negative
-2.5
Answer:
The function is decreasing for all real values of x where x < 1.5.
Step-by-step explanation:
we have
This is a vertical parabola open upward
The vertex is a minimum
The vertex is the point (1.5,-6.25)
we know that
The function is decreasing in the interval ----> (-∞,1.5) x < 1.5
That means----> the function is decreasing for all real values of x less than 1.5
The function is increasing in the interval ----> (1.5,∞) x> 1.5
That means----> the function is increasing for all real values of x greater than 1.5
see the attached figure to better understand the problem
therefore
The statement that is true is
The function is decreasing for all real values of x where x < 1.5.
