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a. What is the discriminant of the equation $x^{2}+(\sqrt{5}) x-1=0 ?$b. Find the roots of the equation $x^{2}+(\sqrt{5}) x-1=0$c. Do the rules for the relationship between the discriminant and the roots of the equation given in this chapter apply to this equation? Explain why or why not.

No

Algebra

Chapter 5

QUADRATIC FUNCTIONS AND COMPLEX NUMBERS

Section 3

The Discriminant

Equations and Inequalities

Quadratic Functions

Complex Numbers

Polynomials

McMaster University

Baylor University

University of Michigan - Ann Arbor

Lectures

01:32

In mathematics, the absolu…

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a. Write the equation in t…

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(a) Compute the discrimina…

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Use the discriminant to de…

04:14

Complete parts a–c for eac…

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the disc. A minute of the situation would be be square minus for a see Now here, Route five can be be see is minus one and a here is co option of extra, which is one. So that would be mood five. Hold square minus for run minus one ritual equal to five plus four, which in turn, would be nine, which is a perfect square. So this tells us that the roots of this equation right here should be the shipping unequal, and they should be rational. How to find the roots of this equation for solid smoke. A new board by the equation again Expert plus move five X minus one. So zero, you know, the very form love The regulations are minus B plus minus de which discriminate upon to a So let's put the volleys in this we get minus food five plus minus and what? Nine. Pawn to one, which is equal to minus five. Route five plus three by two O. R. Minus 15 minus 20 by two. So these are the roots of the equation. Um, but all of them, both them are unequal. That's true, but they're irrational. So the relation. There's going to us on the discriminate and rational, rational roads has been wrong here. That is because one of the questions here that is B is a very irrational self, so that doesn't apply. So the relation has been war and doesn't exist.

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