Question

Find the value of a2 + b2 when a + b = 6 and ab = 7.

Answer 1

Answer:

answer for the given problem is given

Answer 2

The value of a² + b² is 22.

Given:

a + b = 6

ab = 7

To Find:

the value of a² + b²

Solution:

The formula for calculating the whole square of (a + b) is given as-

(a + b)² = a² + b² + 2ab

Now, substituting the values of a + b and ab in the above equation we get-

6² = a² + b² + (2 × 7)

36 = a² + b² + 14

a² + b² = 36 - 14

a² + b² = 22

Thus, the value of a² + b² comes out to be 22.

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