The area of a couple's rectangular living room is 40 sq meters. The length of the room is 3 meters more than the width. What is
1 answer:
The area of a rectangular living room is calculated using length multiplied by width
This area is stated to be 40 square meters (area = 40 sq. meters)
Let the width be x meters
Length will be X+3 meters
Area = Length x Width
40 = X * (X+3)
40 = X^2 + 3X
We solve this quadratic equation
Thus, x = 5 or x= -8
As width cannot be negative, we discard x =-8
Hence, x = 5 is the solution
Width of the room = 5 meters
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Detailed analysis:
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Answer:
b = 5√3
b = -5√3
Step-by-step explanation:
We have
Keep in mind, the root of a function corresponds to the value of x at which the function's output is zero.
In this case
The roots of the equation are the b values for which f(b) equals zero.
Thus
For f(b)=0
Take the square root of both sides
Now simplify
and
So we find that
b = 5√3
b = -5√3