(X-5)1/2+5=2 what is possible solution of this equation
Mathematics · Middle School · Tue Nov 03 2020
Answered on
Given the numerical equation:
(x - 5) ½ + 5 = 2
Determine the possible solution.
Solution:
In order to determine the solution, simply distribute ½ to each value inside the parenthesis first.
(x - 5) ½ + 5 = 2
½x - 5/2 + 5 = 2
5 can be written as 10/2 in order to be added easily to -5/2.
½x - 5/2 + 10/2 = 2
½x + 5/2 = 2
Transpose 5/2 on the other side of the equation, hence we must take note that when transposing a number, the sign changes.
½x =2 - 5/2
½x = 4/2 -5/2
½x = -½
Multiply both side by 2 in order to determine the value of x.
x = -1
Final answer:
x = -1