The rational roots of the equation is .
Further explanation:
It is given that the equation is .
Substitute for in the above equation to check whether it satisfy the equation or not.
Therefore, satisfies the equation so we simplify the given equation in the factor of 2.
Now, the simplification of the given equation is as follows:
Now, make groups of the common term in the above equation as follows:
Now, is common term in the above equation as follows:
......(1)
Simplify the term as follows:
Therefore, the simplification of the term is .
Substitute for in equation (1) as follows:
Now, simplify the above expression to obtain the value of as follows:
Therefore, the value of is .
Therefore, the value of is .
Therefore, the value of is .
Here, is not a rational number.
Since is an irrational number, it will not be considered the obtained solution ofthegiven equation.
Therefore, the other two values of that is and is considered the answer of the equation because they are rational numbers.
Thus, the rational roots of the equation is .
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Answer Details
Grade: Junior High School
Subject: Mathematics
Chapter: Coordinate Geometry
Keywords:Coordinate Geometry, linear equation, roots, variables, mathematics,equation of line, , value of