Question

If a+b=4 and ab=3 , find the value of a2 +b2​

Answer 1

Answer:

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Answer 2

Answer:

10 is the value of $a^2 + b^2$.

Step-by-step explanation:

Explanation:

Given, a + b = 4 and ab = 3

As we know the formula,

$(a+ b)^2$ = $a^2 + b^2 + 2ab$

Step 1:

Formula of $(a+ b)^2$ =$a^2 + b^2 + 2ab$

This can be written as ,

$a^2 + b^2$ = $(a +b)^2$ - 2ab

Now , we put the given values,

⇒$a^2 + b^2$ = $(4)^2$ - 2 × 3

⇒$a^2 +b^2$ = 16 - 6 = 10

Final answer:

Hence, the value of $a^ 2+ b^2$ is 10 .

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