(x+12)^2=1 solve the equation above
Mathematics · Middle School · Thu Feb 04 2021
Answered on
Given the equation:
( x + 12)^2 = 1
Solve the equation.
Solution:
In order to solve the equation, the first step is to expand the squared equation. To do so, we simply apply the rules of squaring binomial.
(x + b)^2 = x^2 + 2ab + b^2
( x + 12 )^2= 1
x^2 + 24x + 144 = 1
Transpose 1 to the other side of the equation hence it must be taken to note that in transposing a number, the sign changes.
x^2 + 24x + 144 - 1 = 0
x^2 + 24x + 143 = 0
Final answer:
x^2 + 24x + 143 = 0