Question

A-b=52 ab=1260 a=?, b=?

Answer 1

A=70, b=18

a=18+52

ab=70*18=1260

Answer 2

To solve for the values of 'a' and 'b' in the equations A - b = 52 and ab = 1260, we'll use a system of equations approach. Let's find the values step by step:

1. A - b = 52
2. ab = 1260

Now, we can use substitution or elimination to find the values of 'a' and 'b'. Let's use substitution:

From equation 1, we can express A in terms of b: A = b + 52

Now, substitute this value of A into equation 2:

(b + 52) * b = 1260

Expand the equation:

b^2 + 52b - 1260 = 0

Now, we have a quadratic equation in terms of 'b'. Let's solve for 'b':

We can factorize the quadratic equation: (b + 70)(b - 18) = 0

Setting each factor to zero gives us two possible solutions for 'b':

1. b + 70 = 0 => b = -70
2. b - 18 = 0 => b = 18

Now that we have two possible values for 'b', we can find the corresponding values of 'a' using equation 1:

1. When b = -70: A = -70 + 52 = -18

2. When b = 18: A = 18 + 52 = 70

So, the two pairs of solutions for 'a' and 'b' that satisfy the given equations are:

1. a = -18, b = -70
2. a = 70, b = 18