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Without solving each equation, find the sum and product of the roots.$x^{2}-\frac{1}{4}=0$

$\operatorname{sum}=0$product$=-\frac{1}{4}$

Algebra

Chapter 5

QUADRATIC FUNCTIONS AND COMPLEX NUMBERS

Section 7

Sum and Product of the Roots of a Quadratic Equation

Equations and Inequalities

Quadratic Functions

Complex Numbers

Polynomials

Campbell University

McMaster University

University of Michigan - Ann Arbor

Lectures

01:32

In mathematics, the absolu…

01:11

00:50

Without solving each equat…

00:53

00:46

00:19

Solve each equation. State…

01:00

00:31

01:45

Find the real solutions, i…

00:56

00:37

Solve each equation by fac…

02:58

01:15

Find all real solutions of…

01:10

01:34

00:15

Solve each equation by fin…

01:14

01:07

Solve each equation by usi…

02:01

Find the exact solutions b…

Okay, So for this problem, we are asked to find some of the product of the roofs without actually solving the equation. Ah, where the equation is X square minus 1/4 equal zero. Just recall that the some formula is going to be taking the ratio of minus B array, and the product formula is going to be taking the ratio of sea over a, um so just getting with it, Um, right from the start, we have that be that coefficient is zero because there is none in the actual equation. So we have zero over A with the one on zero over one is just zero. Um, before see over a, we have that sea is going to be minus 1/4. Um, that is one, and that's just going to correspond to just a minus 1/4.

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