Question

If a2 + b2 = 73 and ab = 24, Find a – b​

Answer 1

Answer:

a - b= 5

Step-by-step explanation:

a²+b²=73

ab=24

we know the identity

(a - b)²= a² + b² -2.ab

(a - b)²= 73 -2. 24

(a - b)²= 73 - 48 = 25

a - b =

$\sqrt{25}$

= 5

hence a - b = 5

Answer 2

Answer:

To find the value of a - b, we can use the given equations:

a^2 + b^2 = 73 ---(1)

ab = 24 ---(2)

We can rearrange equation (1) to solve for a^2:

a^2 = 73 - b^2

Substituting this value of a^2 in equation (2), we have:

(73 - b^2) * b = 24

Expanding the equation:

73b - b^3 = 24

Rearranging the equation:

b^3 - 73b + 24 = 0

Now, we can solve this cubic equation to find the value of b. However, solving cubic equations can be complex and time-consuming. Without numerical methods or additional information, finding the exact value of b is not feasible. Therefore, we cannot determine the value of a - b without knowing the value of a and b explicitly or having additional equations or information.