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MATH / If the sum of the squares of nonnegative real numbers a,b, and c is 13, and ab+bc+ca=6, then what is the sum of a,b, and c?

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problem

If the sum of the squares of nonnegative real numbers a,b,a,b, and cc is 1313, and ab+bc+ca=6ab + bc + ca = 6, then what is the sum of a,b,a,b, and cc?
Plain-text mathematical notation (without MathML)
If the sum of the squares of nonnegative real numbers a,b, and c is 13, and ab+bc+ca=6, then what is the sum of a,b, and c?
Original LaTeX notation
If the sum of the squares of nonnegative real numbers $a,b,$ and $c$ is $13$, and $ab + bc + ca = 6$, then what is the sum of $a,b,$ and $c$?

level

Level 4

type

Algebra

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