Question

В каком n 3х²+n х+5 равно 0 может быть только один корень

Answer 1

D=n²-60=0
n²=60
n=-2√15 или n=2√√15

Answer 2

Solving the Quadratic Equation

To find the value of n for which the quadratic equation n^3 + n^2 + 5n + 5 = 0 has only one root, we can refer to the provided search snippets.

The snippet from Source mentions that the equation has a root in the range of -1 < x < 1. This indicates that the discriminant of the quadratic equation is equal to 0, leading to only one real root.

Therefore, the value of n for which the given quadratic equation has only one root is when the discriminant is equal to 0.

This aligns with the mathematical understanding that a quadratic equation has only one real root when the discriminant is equal to 0.

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