Answer:
Q1 - x = -2 and
Q2 - and
Q3 - Square, Length = 19 m
Step-by-step explanation:
Question 1:
We have the equation i.e.
The solution of equation is .
So, from the given equation, we get,
a = 2, b = 3 and c = -2.
Thus,
i.e.
i.e.
i.e.
i.e. and
i.e. and
i.e. and x= -2
Question 2:
We have the equation i.e.
Again, we have,
a = 16, b = -12 and c = -54
Thus,
i.e.
i.e.
i.e.
i.e. and
i.e. and
i.e. and
Question 3:
We have that,
Area of the rooftop =
This gives us that a = 9, b = 6 and c = 1
Thus,
i.e.
i.e.
i.e.
i.e.
So, the area of rooftop = length × width = = .
Thus, we get,
Length of the rooftop = Width of the rooftop =
Hence, the quadrilateral is a SQUARE.
Since, the area of the rooftop is given as 361 m².
So,
i.e.
i.e.
i.e.
i.e.
So, the length of one side is
Hence, length of one side of the rooftop is 19 meter.