In mathematics, what is the nature of the roots of the quadratic equation $2 x^{2} - 4 x + 5 = 0$ ?

Practise more Advanced Analysis, Algebra and Stochastics.

Free questions with an explanation for every one, and full timed Matura (Reifeprüfung Austria) mock tests.

All Advanced Analysis, Algebra and Stochastics questions Take a mock test

More Advanced Analysis, Algebra and Stochastics questions

In mathematics, what is the derivative of the rational function $f (x) = \frac{2 x - 3}{x ^{2} + 1}$ evaluated at $x = 1$ ?
In mathematics, what is the exact value of the expression $lo g_{2} (32) - lo g_{3} (81) + ln (e^{5})$ ?
In mathematics, what is the exact value of the definite integral $\int_{0}^{1} x e^{x^{2}} d x$ ?
In mathematics, if the 3rd term of an arithmetic progression is 11 and the 7th term is 27, what is the 10th term?
In mathematics, at what value of $x$ does the cubic function $f (x) = x^{3} - 6 x^{2} + 9 x - 2$ have its point of inflection?
In mathematics, what is the sum of the infinite geometric series $8 + 4 + 2 + 1 + \dots$ ?