Question

find the value of : a*2 + b*2 when a + b = 9, ab = 20

A  41

B  35

C  40

D  none of these


* reperesents square​

Answer 1

Answer:

a*2+b*2=(a+b)*2-2ab

(9)*2- 2×20

81-40

Answer= 41

Answer 2

Answer :

The answer is option ( A ) 41

Step-by-step explanation :

$\large\fbox { \green\bf Given :}$

• a + b = 9

• ab = 20

$\large\fbox { \red\bf To find :}$

• a² + b² = ?

$\large\fbox { \blue\bf Solution :}$

a² + b² + 2ab - 2ab

→ (a + b)² - 2ab

→ 9²- (2 × 20)

→ 81 - 40

= 41

Therefore  , the value of a² + b² = 41

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