Let m and n be the numbers of real roots of the quadratic equations x2-12x+[x]+31=0 and x2-5|x+2|-4=0 respectively, where [x] denotes the greatest integer ≤x. Then m2+mn+n2 is equal to

Question

Let

m

and

n

be the numbers of real roots of the quadratic equations

x^{2} - 12 x + [x] + 31 = 0

and

x^{2} - 5 | x + 2 | - 4 = 0

respectively, where

[x]

denotes the greatest integer

\leq x

. Then

m^{2} + m n + n^{2}

is equal to

Correct Answer

09.00

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