Question

If a+b=7 and ab=12, find the value of a²+b².

Answer 1

Answer:

hope this help you

Step-by-step explanation:

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Answer 2

Given : a + b = 7 and ab = 12.

To find : value of  a² + b².

 

 Solution :  

 By using an identity (a + b)² = a² + b² + 2ab  

On Squaring a + b = 7 both sides we get :  

 (a + b)² = 7²  

(a)² + (b)² + 2 × a × b = 49

a² + b² + 2ab = 49

a² + b² + 2(12)= 49

[ab = 12]

a² + b² + 24 = 49

a² + b² = 49 -24

a² + b² = 25

Hence the value of a² + b² is 25.

HOPE THIS ANSWER WILL HELP YOU…..

 

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