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

Which of the following factors increases iron absorption
alaska's glacier bay national had 431, 986 visitors in one year the next year the part had 22,351 more visitors than a year before how many people visited durin
1.2 explain how communication affects relationships in the work setting
what is the eighth multiple intelligence
If an oxygen atom has 8 protons and 10 neutrons in its nucleus, what is its atomic number? 10 8 not enough information to calculate 18
Which of the following represents a car traveling 20 miles/hour? 40 miles traveled in 2 hours 60 miles traveled in 6 hours 40 miles traveled in 3 hours 10 miles
7.5% of what is 7.38?
27,643,087 nearest million
what is the y coordinate of the midpoint of a segment with endpoints (0, -4) and (-4, 7) ?
- 1/3 w = 5 & 3/8 a. w = 4 & 17/24 b. w = 5 & 1/24 c. w = 5 & 4/11 d. w = 5 & 17/24