Refer a friend and earn $50 when they subscribe to an annual planRefer Now

Get the answer to your homework problem.

Try Numerade Free for 30 Days

Like

Report

Solve and check each of the equations.$3 x^{2}-5 x=36-2 x$

$x=-3$ or 4

Algebra

Chapter 1

THE INTEGERS

Section 7

Quadratic Equations with Integral Roots

The Integers

Equations and Inequalities

Polynomials

Missouri State University

Harvey Mudd College

Idaho State University

Lectures

01:32

In mathematics, the absolu…

01:11

03:48

Solve each equation. Check…

01:05

01:37

00:19

Solve each equation. See E…

00:58

Solve each equation, and c…

06:26

Solve and check each of th…

03:13

Solve each equation.$1…

01:01

Solve each equation.$$…

So we want to stop and check this equation. So the first step is to get everything on one side, someone to subtract 36 from both sides. And I'm going to add two extra both sides. When did his only one step? So there are three X squared minus biotics. They would have plus two X and one is 36 uncle Zero and have a combined like terms. So three ex cleared minus three X minus 36. So we wants it back to this. But I don't really like dealing with big numbers, so I'm gonna factor out this three. So that's the greatest. Call me factor. Phony. Incirlik with X squared minus X minus 12. This is much easier to factor than those big numbers we would have dealt with. So the first step is to separate our middle term here. Our middle term in this case will be the minus X that we want to separate this. So we need the little park prohibition times our last term, and we get negative 12 there. We know we need to adds a negative one. So the factors of 12 or one in 12 to in six and three on board, and we know that we need It's a multiply through a negative number. So one of the times have to be negative already knows not gonna be one and 12 because it has the ad said negative one and the other too far apart. These are also too far apart. So we know we're dealing with three and four and only one of these numbers could be negative. So the three is negative for Money. Street is as positive one from you, too. Negative one. So we know that the four must be negative. History minus four gives us the negative voice. So we split apart in middle turn. You have X squared close three x minus for X and they bring down at minus school. You know, three And they were gonna group our first he turns a group or a second too. But I want it back throughout the greatest calming factor. So have X Times X plus three. But then here in factor out for someone sport we left with explosive three because we have the same term here in here. You know, there were on the right step, so I have three times X plus three times X minus four with the equal to zero. And we've factored this completely. So check this. We need Thio that each factor equal to zero distinctly. So we have exposed three equal zero. If X minus four equals zero, we get ignored a three because it doesn't have any very well associated with it. So right here, gonna subtracted from both sides. They will have X equals negative three. And here we are at boarding boats. Thought it will have X equals positive for So the trick. We just put that back into our original equation here. So I'm gonna play in that unit three first. So we have three toes. Anything you squared minus father sounds negative. Three equals 36 months. Two times negative. Three. You have three times nine plus 15 people's 36 plus six. That's totally seven plus 15. And that 42. And this morning, too. And because I equal each other, you know that next minus three is the correct answer. We also need to check our board. So we have three times four. We're minus five times for equals 36 months. Two times four, Mr. B. three terms, 16 minus 20 equals 36 1 is a This would be 48 minus 20 and this will be 28 minute 48. Minus 20 gives us 28 and she's also correct, So know that X congee negative.

View More Answers From This Book

Find Another Textbook

Numerade Educator

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

Solve each equation. Check your answers.$\frac{5}{x^{2}-x}+\frac{3}{x-1}…

Solve each equation. Check each solution. $$\frac{3}{2 x}-\frac{5}{3…

Solve each equation. Check your answer.$$\frac{3}{2 x}-\frac{2}{3 x}…

Solve each equation. See Examples 4 and $5 .$$$6^{x}=36$$

Solve each equation, and check your solutions.$\frac{3 x}{5}-6=x$

Solve each equation. See Example 2 .$$x^{4}+5 x^{2}-36=0$$

Solve and check each of the equations.$x^{2}-5 x-6=0$

Solve each equation.$1-\frac{3}{x}=\frac{5}{x^{2}}$

Solve each equation. See Example 6$$2 x^{3}-9 x^{2}-5 x=0$$

Solve each equation.$$3 x^{2}+5 x=2$$

03:17

In $3-20,$ solve each equation and check.$$\frac{x+2}{5}=\frac{x-2}{…

02:47

In $15-26,$ solve each inequality and write the solution set if the variable…

01:36

A carpenter is making a part for a desk. The part is to be 256 millimeters w…

01:30

In $3-14,$ write the solution set of each equation.$$|2 x-5|+2=13

03:06

Brianna said that $\frac{3}{x-2}=\frac{5}{x+2}$ is a rational equation but $…

01:13

Prove that the convex hull of a bounded set is bounded.

00:43

Write each ratio in simplest form.$\frac{10 x}{35 x}, x \neq 0$

02:35

In Exercises $15-20,$ write a formula for a linear functional $f$ and specif…

00:42

In $3-12,$ multiply and express each product in simplest form. In each case,…

00:27

Write each ratio in simplest form.$6 a : 9 a, a \neq 0$

92% of Numerade students report better grades.

Try Numerade Free for 30 Days. You can cancel at any time.

Annual

0.00/mo 0.00/mo

Billed annually at 0.00/yr after free trial

Monthly

0.00/mo

Billed monthly at 0.00/mo after free trial

Earn better grades with our study tools:

Textbooks

Video lessons matched directly to the problems in your textbooks.

Ask a Question

Can't find a question? Ask our 30,000+ educators for help.

Courses

Watch full-length courses, covering key principles and concepts.

AI Tutor

Receive weekly guidance from the world’s first A.I. Tutor, Ace.

30 day free trial, then pay 0.00/month

30 day free trial, then pay 0.00/year

You can cancel anytime

OR PAY WITH

Your subscription has started!

The number 2 is also the smallest & first prime number (since every other even number is divisible by two).

If you write pi (to the first two decimal places of 3.14) backwards, in big, block letters it actually reads "PIE".

Receive weekly guidance from the world's first A.I. Tutor, Ace.

Mount Everest weighs an estimated 357 trillion pounds

Snapshot a problem with the Numerade app, and we'll give you the video solution.

A cheetah can run up to 76 miles per hour, and can go from 0 to 60 miles per hour in less than three seconds.

Back in a jiffy? You'd better be fast! A "jiffy" is an actual length of time, equal to about 1/100th of a second.