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Mars2501 [29]
3 years ago
10

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

Mathematics
2 answers:
luda_lava [24]3 years ago
7 0

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

Vadim26 [7]3 years ago
5 0

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

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