he6athdana4lolaH he6athdana4lolaH
  • 02-02-2017
  • Mathematics
contestada

Solve the following equation by transforming it into a perfect square trinomial.



x² – 14x = 15



{–22, 36}


{57, 71}

{–1, 15}


{–15, 29}

Respuesta :

TheHero
TheHero TheHero
  • 03-02-2017
x^2 - 14 x  = 15

(x - 7)^2 - 49 = 15

(x-7)^2 = 64

x - 7 = - or  + 8

x = 15  or -1 

Just take half o the coefficient of x and subtract it squared as above.

In general

x^2 + ax = b

(x + a/2)^2 - a^2/4 = b 
Answer Link

Otras preguntas

what is the common name for calcium silicate?
What is Taurine? Please help :)
What Is the Connection Between Sulfuric Acid and Hydrochloric Acid?
why does the same side of the moon always face the earth?
What are similarities between:The Han and Shang Dynasties?The Han and Xia Dynasties?Please help as it's due tomorrow and I don't have long to do it!
What restriction may be necessary to the domain and range of linear equations?
70-q-q-2q=80 We'll this is confusing
you are facing east. you turn left, then left again, then about face, then right. which direction are you finally facing?
If y^8 = 4 and y^7 = 3/x, what is the value of y in terms of x? (A) 4x/3 (B) 3x/4 (C) 4/x (D) x/4 (E) 12/x
the measure of distance from one point to another is?