Make x subject of formuka in a(a-x)=b(b-x)

Answer 1

To make x the subject of the formula, we will solve for x in the equation:

a(a-x) = b(b-x)

First, let's expand and simplify the equation:
a^2 - ax = b^2 - bx

Now, let's isolate the terms with x on one side:
ax - bx = a^2 - b^2

Factor out x from the left side:
x(a - b) = a^2 - b^2

Now, divide both sides by (a - b) to solve for x:
x = (a^2 - b^2)/(a - b)

So, x is the subject of the formula and its value is (a^2 - b^2)/(a - b).

Answer 2

why stop there?
x = (a^2 - b^2)/(a - b)
x = a+b

Answer 3

Apologies for the confusion. Let's continue solving for x:

x = (a^2 - b^2)/(a - b)

We can factor the numerator as the difference of squares:
x = [(a + b)(a - b)] / (a - b)

Now, we observe that (a - b) cancels out, as it appears in both the numerator and denominator:
x = a + b

So, the final solution is x = a + b.