Question

If a+b=7 and ab=4 and find
Value of a² +b²​

Answer 1

Answer:

41

Step-by-step explanation:

(a+b)² = a²+ 2 ab + b²

(7)² = a²+b² + 2(4) .... given

49 = a²+b² + 8

49-8 = a²+b²

41 = a²+b²

Answer 2

The value of a² + b² = 41

Given :

a + b = 7 and ab = 4

To find :

The value of a² + b²

Solution :

Step 1 of 2 :

Write down the given data

Here it is given that a + b = 7 and ab = 4

Step 2 of 2 :

Find the value of a² + b²

(a + b)² = a² + 2ab + b²

⇒ 7² = a² + b² + 2ab

⇒ 49 = a² + b² + 2 × 4

⇒ 49 = a² + b² + 8

⇒ a² + b² = 49 - 8

⇒ a² + b² = 41

The value of a² + b² = 41

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ divide : (4x²- 100) ÷ 6(x+5)

https://brainly.in/question/15559404

2. Find the value of the expression a² – 2ab + b² for a = 1, b = 1

https://brainly.in/question/28961155