On a scale drawing of a workshop, 1 inch equals 4 feet. The actual dimensions of the workshop are 40 feet by 60 feet. What are t
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Given:
The equation is
To find:
The number of roots and discriminant of the given equation.
Solution:
We have,
The highest degree of given equation is 2. So, the number of roots is also 2.
It can be written as
Here, .
Discriminant of the given equation is
Since discriminant is , which is greater than 0, therefore, the given equation has two distinct real roots.
The LCM of the given numbers have been determined.
<h3>What is LCM ?</h3>LCM stands for Least Common Multiple .
For two numbers , LCM is the number that is the smallest number of which they both are a factor.
It is asked to determine
LCM of 6 and 9
6 = { 6 , 12 , 18 , 24 , 30 , 36 , 42 .....}
9 = { 9 , 18 ,27 .....}
The LCM of 6 , 9 is 18
LCM of 8 and 12
8 = { 8,16,24,32....}
12 = {12 , 24 ,36....}
The LCM of 8 and 12 is 24
LCM of 4 , 6 and 8
4 = {4 , 8 , 12 , 16 , 20,24,28 ....}
6 = { 6 ,12 ,18,24......}
8 = {8 , 16,24 .....}
The LCM of 4,6 and 8 is 24
The LCM of 6 and 15 is 30
The LCM of 20 and 30 is 60
The LCM of 25,30 and 75 is 150
The image of the solution is attached .
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