Answer:
The roots of the polynomial are;
3 + 2i
and 3-2i
Step-by-step explanation:
Here, we want to solve the given polynomial using the completing the square method
We start by dividing through by 8
This will give;
x^2 - 6x = -13
To complete the square, we simply divide the coefficient of x by 2 and square it
We have this as -6/2 = -3
square it;; = (-3)^2 = 9
Add it to both sides
x^2 - 6x + 9 = -13 + 9
x^2 - 6x + 9 = -4
(x-3)^2 = -4
Find the square root of both sides
x-3 = ±2i
x = 3 + 2i
or x = 3-2i
Take the root of both sides and solve.
Answer:
-23
Step-by-step explanation:
A quadratic equation is given to us and we are interested in finding the discriminant of the quadratic equation . As we know that ,
If the quadratic equation is in Standard form ,
The discriminant is ,
The given quadratic equation is ,
On comparing it with the Standard form , we have ,
So that ,
Also note that if D < 0 , then the roots are complex conjugates .
<h3>Hence the discriminant is (-23).</h3>
Answer:
3
Step-by-step explanation:
i think because 12-9=3