Question

find a2 + b2 if a- b = 23 and ab=11
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Answer 1

Answer:

(a-b)²=a²+b²-2ab

(23)²=a²+b²-2×11

529=a²+b²-22

529-22=a²+b²

a²+b²=507

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Answer 2

Answer:

507

Step-by-step explanation:

Given,

a - b = 23

ab = 11

To find : a^2 + b^2 = ?

a - b = 23

squaring on both sides,

( a - b )^2 = 23^2

a^2 + b^2 + 2ab = 529

a^2 + b^2 + 2 ( 11 ) = 529

a^2 + b^2 + 22 = 529

a^2 + b^2 = 529 - 22

a^2 + b^2 = 507