You didn't post any option, but the ration roots theorem states that all possible rational roots of a polynomial come in the form
where p divides the constant term and q divides the leading term of the polynomial. So, in your case, p divides 3 (i.e. it is 1 or 3), and q divides 5 (i.e. it is 1 or 5).
So, the possible roots are
For the record, this parabola has no real roots.
2|x-2|-12=0
Rearrange variables to the left side of the question
2|x-2|=12
Dividing both sides of the equation by the coefficent of variables
|x-2|=12/2
Reduce the fraction
|x-2|=6
Split into two variables
x-2=6 or x-2=-6
Rearrange variables to the left side of the equation
x=6+2
x=8 or x=-4
when x=8
LHS=2|8-2|-12=0
RHS=0
LHS=RHS
x=8 is valid
A variable in mathematics is an alphabet or phrase that stands in for an unknowable amount, unknowable value, or unknowable number. Particularly in the case of algebraic expressions or algebra, the variables are utilised. As an illustration, the linear equation x+9=4 has the variables x and 9 as constants.
A variable is a letter or symbol that stands in for any individual integer in a group of two or more. A constant is a letter or symbol that stands for a single particular number, whether it is known or unknown.
In mathematics, variables serve as stand-ins for unknowable numbers. Variables can be utilized in formulae, equations, and expressions in mathematics. When it's necessary to find the optimum solution, variables are frequently employed.
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