Answer:
When the discriminant of a quadratic function is negative than it is not be written in factored form.
Step-by-step explanation:
If a quadratic function is , then
1. It is factorable if i.e., graph of function intersect the x-axis, roots of the function are real.
2. It is not factorable if i.e., graph of function does not intersect the x-axis, roots of the function are imaginary or complex.
It means, the quadratic function not be written in factored form when the discriminant of a quadratic function is negative.
The solution of the equation in terms of the base is .
Given that
Equation;
We have to find
The solution of the equation in terms of base.
According to the question
To determine the solution of the equation following all the steps given below.
Equation;
Then,
Hence, the solution of the equation in terms of the base is .
To know more about Equation click the link given below.
Answer:
Step-by-step explanation:
To find the area of the shaded region, you must find the area of the larger rectangle [(x+10)×(2x+5)] and subtract the area of the smaller rectangle [(x+1)×(x+1)] from it.
First, you simplify the larger rectangle's area:
(x+10)×(2x+5) =
Then, simplify the smaller rectangle's area:
(x+1)×(x+1) =
Finally, subtract the smaller rectangle's area from the larger rectangle's area:
Therefore, the final answer is .
I hope this helps!