VelvetGuedjian VelvetGuedjian
  • 21-05-2014
  • Mathematics
contestada

Find the solution to the following equation by transforming it into a perfect square trinomial.* x2 + 2x = 8

Respuesta :

soniaagarwal09 soniaagarwal09
  • 21-05-2014
x2+2x-8 =0
x2 + 4x - 2x - 8 = 0
x(x+4) - 2(x+4) = 0
(x-2)(x+4) = 0
let x- 2 = 0
x = 2
let x+4 = 0
x= -4
Answer Link
Ryan2
Ryan2 Ryan2
  • 22-05-2014
[tex] x^{2} +2x=8 \ add \ 1 \ to \ both \ sides\\ \\ x^{2} +x+8+1 \ in \ the \ left \ side \ you \ find \ a perfect \ square \ trinomial\\ \\ (x+1)^2=9\\ \\ So:\\ \\ x+1=\pm \sqrt{9}\\ \\ x+1=\pm 3\\ \\ x+1=3 \rightarrow x=2\\ \\ x+1=-3 \rightarrow \x=-4[/tex]
Answer Link

Otras preguntas

The first sentence of the story called the alternate penguin
Which is 216 written as a power of a number? A. 6^3 B. 3^6 C. 108^2 D. 72^3
What is 11,760,825 in word and expanded form
Juan took 6 apples and cut each into eighths, how many pieces of apple did he have.
Which was a result of the Battle of the Little Big Horn? A. Colonel John Chivington killed 150 Cheyenne who were seeking protection from the governor of Color
How to conjugate the French verb acheter (to buy) in the present tense
Which statements are true? Choose all answers that are correct. a. –15+(–10) > –4+(–20) b. –10+(–11) > 3+(–26) c. 17+(–26) > 12+(–19) d. –18+31 = 2
how do you write 12/75 as a decimal
HARD POINT TUESDAY ANSWER THIS EQUATION -4x - 2y= -12 4x + 8y = -24
How was the case of United States v. Stevens in 2010 similar to the Marbury v. Madison case?