Math, asked by ishita8112005, 11 months ago

If a+b = 10 and ab=21 find the value of 2(a2+b2)

Answers

Answered by armaanverma093
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 shourya779
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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