Question

a^2+b^2=1305, a*b=648, a-b=?

Answer 1

a - b is 9

Step-by-step explanation:

• Step 1: Given a² + b² = 1305, a × b = 648. Find a - b using the identity for (a - b)²

⇒ (a - b)² = a² + b² - 2ab

⇒ (a - b)² = 1305 - 2 × 648 = 1305 - 1296 = 9

⇒ (a - b) = 9

Answer 2

Answer:

± 3

Step-by-step explanation:

(a-b)^2 = a^2 + b^2 - 2ab

           = 1305 - 2(648)

           = 1305 - 1296

           = 9

$\sqrt{(a-b)^{2}$ = $\sqrt{9}$

a-b = ± 3