if a+b= 8 and ab=7, than the value of (a²+b² )?
Answers
Answered by
1
Answer:
50
Step-by-step explanation:
a²+b²= (a+b)²-2ab
= 8²-2*7
= 64-14
= 50
Answered by
1
Step-by-step explanation:
Take the square of both equations.
(a+b) ² =(8) ²
a ² + b² + 2ab =64 (equation 1)
(a-b) ² = (6)²
a² + b² - 2ab = 36 (equation 2)
Now add equation 1 with equation 2
(a ² + b² + 2ab) + (a² + b² - 2ab) = 64 + 36
2a² + 2b² = 100
2(a² + b²) = 100
a² + b² = 50
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