If x + y = 10 and xy = 24 find value of x² + y²
Answers
Answered by
3
( a + b )² = a² +2ab + b²
use the above identity
(x + y)² - 2xy = x² + y²
→ 10² - 2(24) = x² + y²
→ x² + y² = 100 - 48
= 52
Answered by
1
Answer:
52
Step-by-step explanation:
(x+y)²=(10)²
=>x²+y²+2xy=100
=>x²+y²+48=100
=>x²+y²=100-48
=>x²+y²=52
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