Download the App!

Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

One of the roots is given. Find the other root.$-7 w^{2}+b w-5=0 ;-1$

$-\frac{5}{7}$

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

Harvey Mudd College

University of Michigan - Ann Arbor

Lectures

01:32

In mathematics, the absolu…

01:11

02:23

Find the roots of each pol…

01:04

One of the roots is given.…

00:58

01:10

04:07

01:14

(a) Compute the discrimina…

00:32

A polynomial equation with…

00:24

Determine how many roots e…

02:07

An equation is given, foll…

04:39

02:22

For each equation, state t…

00:17

Find a polynomial with the…

01:07

00:23

01:02

00:57

02:00

Find a quadratic equation …

02:24

Find all roots of each equ…

01:12

for this problem. This problem early. Only we're not gonna use this fact to find the other room. Really use the fact that the product of the two routes is equal to see over a and so I'm actually gonna make this image a little bit bigger. Don't put it right here, because this is the one that's gonna be more useful. And let's get rid of this one and put this one up here Nice and big to display, All right. And so we know that one of the routes is negative one. And we know our C and A values, so I can plug in a negative one here for route one, multiplied by route to, And I know it's gonna be equal to a C value of negative five over in a value of negative seven in negative five over negative seven is the same as 5/7. But we have negative one times route to. So we have a negative route to equal to a positive 5/7, meaning a positive Route two is equal to a negative 5/7. If I multiply both sides of the equation by negative one

View More Answers From This Book

Find Another Textbook

In mathematics, the absolute value or modulus |x| of a real number x is its …

Find the roots of each polynomial equation.$$x^{3}-5 x^{2}+7 x-35=0<…

One of the roots is given. Find the other root.$-4 x^{2}-5 x+c=0 ; 2$

One of the roots is given. Find the other root.$x^{2}+b x+3=0 ; 1$

One of the roots is given. Find the other root.$x^{2}+15 x+c=0 ;-5$

Find the roots of each polynomial equation.$$2 x^{4}-5 x^{3}-17 x^{2…

(a) Compute the discriminant of the quadratic and note that it is negative (…

A polynomial equation with rational coefficients has the given roots. Find t…

Determine how many roots each equation has.Two roots of $3 x^{2}\left(x^…

An equation is given, followed by one or more roots of the equation. In each…

For each equation, state the number of complex roots, the possible number of…

Find a polynomial with the given degree $n$ the given roots, and no other ro…

One of the roots is given. Find the other root.$-6 x^{2}+2 x+c=0 ; \frac…

One of the roots is given. Find the other root.$z^{2}+2 z+k=0 ; \frac{3}…

One of the roots is given. Find the other root.$2 x^{2}+3 x+c=0 ; 1$

Find a quadratic equation with the given roots $r_{1}$ and $r_{2} .$ Write e…

Find all roots of each equation. Hints: First, factor by grouping. In Exerci…

One of the roots is given. Find the other root.$m^{2}-4 m+n=0 ; 3$

01:47

Christina said that when $a, b,$ and $c$ are rational numbers and $a$ and $c…

01:00

In $19-28 :$ a. Find $\mathrm{f}(a)$ for each given function. b. Is $a$ a ro…

01:40

In $15-23 :$ a. Find the value of the discriminant and determine if the root…

In $38-43,$ match the inequality with its graph. The graphs are labeled $(1)…

00:40

In $19-30 :$ a. Write an algebraic expression that represents $a_{n}$ for ea…

Write a quadratic equation with integer coefficients for each pair of roots.…

01:35

In $3-14,$ use the quadratic formula to find the imaginary roots of each equ…

00:47

One of the roots is given. Find the other root.$x^{2}-8 x+c=0 ;-3$

01:34

In $9-18,$ use the given information to a. write the series in sigma notatio…