Answer:
The solutions to the quadratic equations will be:
Step-by-step explanation:
Given the expression
Let us solve the equation by completing the square
Add (-6)² to both sides
simplify
Apply perfect square formula: (a-b)² = a²-2ab+b²
i.e.
so the expression becomes
solve
add 6 to both sides
Simplify
also solving
add 6 to both sides
Simplify
Therefore, the solutions to the quadratic equation will be:
Answer:
Domain of the function is { x : x∈R, x>0 } or (0,∞).
Step-by-step explanation:
It is given that the dimensions of a rectangular piece of cardboard are
Length = 14 inch
Width = 10 inch
The box will be constructed by cutting out equal squares of side x at each corner and then folding up the sides. So the dimensions of the box are
Length = 14-2x inch
Breadth = 10- 2x inch
Height = x inch
The volume of cuboid box is
The volume function of the box is
The volume function is V=(14-2x)(10-2x)x.
It is a polynomial function and domain of a polynomial function is all real numbers.
Here, x represents the height of the box. So, value of x must be a positive real number.
Domain of the function is
Domain = { x : x∈R, x>0 }
It can be written as (0,∞).
Therefore, domain of the function is { x : x∈R, x>0 } or (0,∞).