Question

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

Answer 1

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Answer 2

The value of a² + b² = 25

Given :

a + b = 7 and ab = 12

To find :

The value of a² + b²

Formula :

a² + b² = (a + b)² - 2ab

Solution :

Step 1 of 2 :

Write down the given data

Here it is given that ,

a + b = 7 and ab = 12

Step 2 of 2 :

Calculate the value of a² + b²

We are aware of the algebraic identity that ,

a² + b² = (a + b)² - 2ab

Thus we get ,

$\displaystyle \sf {a}^{2} + {b}^{2}$

$\displaystyle \sf = {(a + b)}^{2} - 2ab$

$\displaystyle \sf = {7}^{2} - 2 \times 12$

$\displaystyle \sf = 49 - 24$

$\displaystyle \sf = 25$

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