-5 = (x+7)^1/2 - 11 How do I solve this.
Mathematics · High School · Tue Nov 03 2020
Answered on
Given the numerical expression:
-5 = (x+7)^1/2 - 11
Simplify and solve for x.
Solution:
In order to solve and simplify the given numerical expression, start first by transposing -11 on the other side of the equation. Note that when transposing a number, the sign always changes.
-5 + 11 = (x + 7) ^ ½
6 = ( x + 7) ^½
Raising a number to ½ is the same as taking the square root of the number. In order to cancel that out, we will square both sides of the equation.
6^2 = ((x+7)^½)^2
36 = x + 7
transpose 7 on the other side of the equation.
x = 36 -7
x = 29
The value of x is equal to 29.