Question
Make x subject of the formula x (a - b)=a ( b - x)
Answers
Answered by
GPT 3.5
To make x the subject of the formula x(a - b) = a(b - x), we need to isolate x on one side of the equation.
First, distribute x on the left side of the equation:
xa - xb = ab - ax
Next, move all terms containing x to one side of the equation:
xa + ax = ab + xb
Factor out x:
x(a + a) = b(a + b)
Combine like terms:
2ax = ab + b^2
Now, divide both sides by 2a to isolate x:
x = (ab + b^2) / 2a
Therefore, the formula with x as the subject is x = (ab + b^2) / 2a.
First, distribute x on the left side of the equation:
xa - xb = ab - ax
Next, move all terms containing x to one side of the equation:
xa + ax = ab + xb
Factor out x:
x(a + a) = b(a + b)
Combine like terms:
2ax = ab + b^2
Now, divide both sides by 2a to isolate x:
x = (ab + b^2) / 2a
Therefore, the formula with x as the subject is x = (ab + b^2) / 2a.