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(a + b)^2 Expansion and Visualisation

What is the m...

Question

What is the minimum integral value of x such that both a and b are equal to x and the flow doesn't pass through "Add 1 to a and 1 to b" before the termination of the process?

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Solution

The correct option is D 7
If the flow doesn't pass through "Add 1 to a and 1 to b", $a^{2} + b^{2} > 90$
Both are equal to x.
$2 x^{2} > 90 x^{2} > 45 6^{2} = 36 < 45 7^{2} = 49 > 45$
7 is the minimum integral value of x so that $2 x^{2} > 90$ .

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