Could someone please check these-I had tried one last night but it was really wrong so I'm been working-hopefully these are correct.

What are the roots of the equation and answers have to be simplified
2x^2 + 5x-10 =0
2x^2 + 5x-10+10=0+10
2x^2 + 5x = 10
2x^2 + 5x/2 = 10/2
2x^2/2 + 5x/2 = 5
x^2 + 5/2x = 5
(5/2 * 1/2)^2 = 5/4^2
x^2 + 5/2x + (5/4)^2 = 5 + (5/4)^2
(x+5/4)^2 = 105/16
x + 5/4 = +minus sqrt 105/16 = sqrt 3^1 * 5^1*7^1 = sqrt 105/4
x= -5/4 + sqrt105/4 or x= -5/4 - sqrt 105/4 Is this correct and simplified as far as it can be?

thank you Someone suggested a site that will do it but I want to learn on my own

  1. 👍 0
  2. 👎 0
  3. 👁 214
  1. at this point...
    x^2 + 5/2x =5
    you want to complete the square, take 1/2 of 5/2, square it, and add it to both sides.
    x^2+5/2 x + 25/16=5+25/16=105/16
    (x+5/4)^2=(sqrt 105/16)^2
    so we agree. I didn't follow your work.

    1. 👍 0
    2. 👎 0
  2. I thought that once I got to 105/16 I should take the square root which is factored out so I can't take anything out of the 105,however I can take the square root of 16 = 4 and you take the square root of (x+5/4)^2 to get it out of parentheses, so therefore the 2 roots are x= -5/4 + or minus square root of 105/4 as the simplified version

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Trigonometry

    Find the value of x. Round to the nearest tenth. The diagram is not drawn to scale. The adjacent is 12cm wide and the angle of the hypotenuse is at 35 degrees. The opposite is x. I'm posting this here because I want to know what I

  2. Math

    Please Check My Answer I don't know if they are right or wrong and if they are wrong can u give me the correct answers. ? Thanks PS: The answers are the * one's. 1) 2/3 = 12/x x= 18 x= 12 x= 36 x= 8 **************** 2) 6/11 = 84/x

  3. English

    please check my answers 1.Mr.Peters comes to bed one night and finds leita calling out in her sleep. How does this scene reveal her internal conflict? her dream, she is talking of her fear of leaving Mr.Peters her dream,

  4. English

    what does sojourn mean as it is used in the following lines from act III,Scene 3,in The Tragedy of Romeo and Juliet? Friar:Go hence;good night!and here stands all your state:Either be gone before the watch be set, Or by the break

  1. English

    Can someone check my answer please? Read the following sentences from "Marriage is a Private Affair." ""I owe it to you, my son, as a duty to show what is right and what is wrong. Whoever put this idea into your head might as well

  2. Basic Math

    Bill and Sue both work at night. Bill has every sixth night off and Sue has every eighth night off. If they are both off tonight, how many nights will it be before they are both off again?

  3. College accounting

    In order to provide snacks for guests on a 24-hour basis, Night sign a contact with Snack Attack. Snack Attack will install vending machines with food and drinks and pay a 10% commission on all sales.Estimated payments are made at

  4. algebra

    Solve for s in this equation. Depreciation. D=C-s/n This is my answer D-C=C-s/n-c D-C=-s/n -n(D-C)=-s/n*(-n) -nD+nC=s s=n(C-D) Please chack to see if this is correct Looks fine to me. A slightly shorter (by 2 lines) rearragement

  1. Language Arts

    Harlem Night Song This is the poem Come, Let us roam the night together Singing. I love you. Across The Harlem roof-tops Moon is shining. Night sky is blue. Stars are great drops Of golden dew. Down the street A band is playing. I


    An angel, robed in spotless white, Bent down and kissed the sleeping Night. Night woke to blush; the sprite was gone. Men saw the blush and called it Dawn. Paul Laurence Dunbar I have a few questions on this poem which I do not

  3. math

    At dinner one night Sean paid a total of $54.32. The tax was 8%, and he left a 20% tip on the check and tax. Which equation can be used to find the amount of the check BEFORE tax and tip?

  4. Accounting

    A check returned by a bank because the issuer's cash account balance could not cover the check is called a(n): a. Cancelled check b. Certified check c. Outstanding check d. NSF check

You can view more similar questions or ask a new question.