If a square +b square =29 and ab =10. find : 1.a+b 2.a-b
Answers
Answer:
Step-by-step explanation:
As we know [ (a + b)² = a² + b² + 2ab]
= 29 + (2 × 10) [putting a² +b² = 29
and ab = 10]
=29 + 20 = 49
(a + b)² = 49
(a + b) = √49
(a + b) = 7
and;
putting [(a - b)² = a² +b² -2ab]
= a² + b² -2ab
= 29 - (10 × 2) [putting a² + b² = 29
and ab = 10]
= 29-20
= 9
(a-b)² =9
( a - b ) = √9
(a - b) = 3
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