Question

If 900-420 +49 = (a - b)^2, what is the value of a - b ?​

Answer 1

We can simplify the left-hand side of the equation first:

900 - 420 + 49 = 529

Now we can rewrite the equation as:

529 = (a - b)^2

To solve for a - b, we can take the square root of both sides:

√529 = |a - b|

Since the square root of a positive number is always positive, we can remove the absolute value:

a - b = ±23

Therefore, the value of a - b could be either positive 23 or negative 23.