For this case we have that by definition, the discriminant of a quadratic expression is given by:
If the discriminant is less than zero then the expression has two different complex roots.
In this case we have the following expression:
So we have to:
The discriminant is given by:
Then, if we want two complex roots it must be fulfilled that:
Thus, the expression has two complex roots for all values greater than 4.
ANswer:
Answer:
She needs to purchase 50 square feet of wood .
Step-by-step explanation:
we can find the number of square feet of wood needed to purchase by finding the area of the table
The area of the table = area of the triangle + area of the rectangle
Area of the triangle:
Area of the triangle =
On substituting the values from the attached figure , we get
Area of the triangle =
Area of the triangle =
Area of the triangle = 10 square feet
Area of the rectangle:
Area of the rectangle = Length X Breadth
On substituting the values from the attached figure , we get
Area of the triangle =
Area of the triangle = 40 square feet
Thus the area of the table = 10 + 40 = 50 square feet
Answer:
Use the property of condensation of logarithmic function
Given,
