Unit 4 solving quadratic equations homework 6 answer key

Video Transcript

Hi. The first problem is give an answer to solve by factoring that is X square equals six X plus 91 X square equals six X plus 91. The first step is we do here. X. Clear minor fix things minus 91 Not equal to zero. Now you return now we need two numbers whose sum is equal to -6 and product Is equal to -91. Look at two numbers here That is coming out to me -13 and seven. So we can write that X square Plus seven X minus 30. Next One of 21 is equal to zero. No grouping here. In fact green so X times X blood thurman -13 times x plus seven that equals zero. So from here we get X plus seven times X minus 13. That is equal to zero. So we got the roads here That is x equals -7 and 13 of these other but acquired roads further last one. The next is looking at rule number two produce a square root method for that. So we have minus two X squared minus two X Square plus 146 with equal to minus 34. Mandatory for souls. Now, what we can do here so minus two X squared They call to 34 minus one. Quarter six minus two X squared the quarto -1, Experts coming out to be 19. So we have accessible to black minus wrote 19. That has given us plus minus quick little bit quite truth sport. Second one, No more on the 3rd 1 here. So the third one is given us X square. Now the matter would be able to adopt in third one is committing a square. So it is x squared minus 14 X x square minus 14 x plus 43 is equal to nine plus 53 nine. So now we're the sources all this so that we can solve this here. The first step is we bring the concept to the other side. So X square -14 X is equal to We get nine minutes 43 That will give -44. Right? The one thing now we do here plus and minus we did the question of X 14 all divided by two whole square finals 14, divide by two whole schools. So this will become a perfect pair. Now x minus servant. That's good -749. The cold of -44. So from here we get X -7. Hold square not equals five Or X -7. They know squirrel both lights. So we get plus minus road pipe where we get Mexico to seven Plus- Root five. These other the quiet routes. So moving on the 4th 1 now three x Square plastic sacks three x square plastic facts -62 is equal to seven. So again we apply it off as a matter of minutes square for all this. So we get three x square plastic sacks that they will do 69. Right Now the next next turtles would require the commission of X Square to be one. The factor of three. So what do I have a question by three? We get x squared plus two X. They called to 23. Right? The next step is we do plus and minus. So we do Coefficient of x divided by two whole square. Again, divide by two whole square. So this is a perfect square here we'll get to your X plus one. Hold Square -1 equals 23 or X plus one whole square equals 24. So we get X plus one equals plus minus Route 24 or We get x equals -1 Plus- Root 24. So these are the required roots. We want to know cost about five. The matter is we need to adopt is quite a formula given a minus X squared plus seven X equal to one is equal to one. So Africans sold this. So let's just come out to me X square minus 11 X. Last one of the equilibrium, the party formula has given us access it will do minus B plus minus Square Root B Square -4. AC. Or work. Do it. Right, so this will give minus P. So minus minus seven. Is seven plus minus square root. No B squared minus seven squared is 49 -4 into one into one because a is one. These one or divide by two into 1. So this will be seven plus minus square root, 49 -4. It was 45 Or divide by two. So you got the roots here seven plus minus Route 45. and by 2000 required routes Moving on to now 61 again installed by writing formula. So five X squared equals x minus two. We can write in the way Senate poem minus X plus two as they call audio. So X is equal to -7. One plus minus Square root of b squared 1 -4 Into a practice five in to see that is true. Hold the white by 28 So two into 5 right will give one plus minus square root. So you get here one That's coming out to be 40 all divided by then. So what's going to be one Plus- Square Root of -39. All divided by then. The data required rules. Thank you.

Table of Contents Show

Video Transcript
Why are we studying this?
Unit Schedule and Assignments
Table of Contents & Pages
Daily Homework Assignments (w/Answer Keys)
Factoring Quadratic Expressions: Practice Page
9.1: #4-15 ALL + 18, 19, 22 (adsbygoogle = window.adsbygoogle || []).push({});
9.3: #1-13 ODD + 15-20 ALL
Solving Quadratic Equations by Graphing
Factoring Quadratic Expressions (adsbygoogle = window.adsbygoogle || []).push({});
8.1-8.2: Solving Quadratic Equations by Factoring
9.1: Solving Quadratic Equations by Square Roots
9.2: Solving Quadratic Equations by Completing the Square
9.3: Solving Quadratics by Quadratic Formula

Why are we studying this?

In this unit of study, students will continue to deepen their knowledge and understand of quadratic functions. Students will learn how to solve quadratic equations algebraically and interpret them in terms of the graph and in context.