Double roots of a quadratic equation shows that they are same root, and the graph of the quadratic function merely touches the input axis.
Let there is a quadratic function as:
The input axis is 'x-axis' and the output axis is 'y-axis'
When the output is 0, we get the graph of that function touching the x-axis since the place where y is 0 is only x-axis.
Thus, putting gives us the values of x for which the graph of the function intersects the x-axis.
These points of interesection are called roots of the quadratic equation.
If the graph only touches the input axis (here x-axis), then both the roots are lying on same point and therefore are of equal measurement.
This is the condition when we call that the considered quadratic equation has double roots.
Let we consider and example of a quadraticfunction which will have double root.
Since (x-3)(x-3) = 0 will give x= 3 two times, that means the roots of the equation (x-3)(x-3) are same, and are equal to 3.
So, is one such quadraticfunction having double roots, as shown in the image attached below.
Learn more about finding the nature of the roots of a quadratic equation here:
Answer:
Step-by-step explanation: When the left side factors into two linear equations with the same solution, the quadratic equation is said to have a repeated solution. We also call this solution a root of multiplicity 2, or a double root.
Answer:
Carla needed 164 inches² wrapping paper to wrap the present.
Step-by-step explanation:
Given : A rectangular prism having length 10 inch , width 3 inch and height 4 inch.
We have to find the length of wrapping paper does Carla need to wrap the present which is in form of given rectangular prism (not including overlap)
The length of wrapping paper needed will be equal to the total surface area of rectangular prism.
total surface area of rectangular prism = 2( lw +wh + hl)
Where l denotes length , w denotes width and h denotes height
Given length = 10 inch ,
width = 3 inch
height = 4 inch.
Substitute, we get,
total surface area of rectangular prism =2 (10× 3 + 3× 4 + 4 × 10 )
total surface area of rectangular prism =2 (30 + 12 + 40)
Total surface area of rectangular prism = 164 inches²
Thus, Carla needed 164 inches² wrapping paper to wrap the present.