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MATH / If n is a constant and if there exists a unique value of m for which the quadratic equation x²+mx+(m+n)=0 has one real solution, then find n.

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problem

If nn is a constant and if there exists a unique value of mm for which the quadratic equation x2+mx+(m+n)=0x^2 + mx + (m+n) = 0 has one real solution, then find nn.
Plain-text mathematical notation (without MathML)
If n is a constant and if there exists a unique value of m for which the quadratic equation x²+mx+(m+n)=0 has one real solution, then find n.
Original LaTeX notation
If $n$ is a constant and if there exists a unique value of $m$ for which the quadratic equation $x^2 + mx + (m+n) = 0$ has one real solution, then find $n$.

level

Level 5

type

Algebra

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