If a+b = 10 and ab=21 find the value of 2(a2+b2)
Answers
Answered by
1
Answer:
116
Step-by-step explanation:
The only two numbers which have their sum as 10 and product 21 is 7 and 3.
So,
2(a²+b²)
=2(7²+3²)
=2(49+9)
=2(58)
=116
Hope it helps..
Answered by
2
ANSWER
Given ---
a + b = 10
ab = 21 , find 2( a² + b² )
So, here is formula
( a + b )² = a² + b² + 2ab
Apply to our question
=》 ( 10 )² = a² + b² + 2 × 21
=》 100 = a² + b² + 42
= 》 100 - 42 = a² + b²
=》 a² + b² = 58
ACCORDING TO QUESTION
WE HAVE TO FIND 2×( a² + b² )
So,
2 × 58 ( a² + b² = 58 , above solved)
2 × ( a² + b² ) = 116 ANS
HOPE IT HELPS YOU
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