Question

If a+b=7and ab=10find the value of a^2+b^2​

Answer 1

HEY FRIEND HERE IS YOUR SOLUTION......

a+b= 7

ab= 10

a^2+b^2

(a+b)^2 - 2ab

(7)^2 - 2×10

49 - 20 = 29

ANSWER = 29

Answer 2

Answer:

a² + b² = 29

Step-by-step-explanation:

NOTE: Kindly refer to the attachment.

Identity Used:

a² + b² = ( a + b )² - 2ab

Additional Information:

1. When the sum of two variables and their product is given, we have to find either sum of their squares or cubes.

2. Here, we have to find the sum of their squares.

3. We know some identities, and by using such identities, we can find the value of sum of their square or cubes.

4. Some times, such questions are also related to Quadratic Equation and its roots.

5. If $\sf\:\alpha\:and\:\beta$ are roots of a quadratic equation, then we have to find sum of their squares or cubes.

6. In such questions, we have given that their sum and product.

7. Some Fundamental Algebraic Identities:

1. ( a + b )² = a² + 2ab + b²

2. ( a - b )² = a² - 2ab + b²

3. a² + b² = ( a + b )² - 2ab

4. a³ + b³ = ( a + b )³ - 3ab ( a + b )