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

A person drops two objects from the same height. One object weighs 15 N, and the other weighs 10 N. How does the mass of the objects relate to the force of grav
Lisa, a network manager, has been assigned to a new team. She organizes a meeting to understand the strengths and talents of the team members. Which quality is
8/9 whats this fraction in simplest form
2X plus 6X equals 1000
Regarding physical education teacher and coach liability compared to classroom teacher liability, which is true? 1) Physical education teachers have more liabil
A ______ is placed above the size indicator of a unit symbol to show that it is task-organized for a specific mission or operation.
write the inequality in interval notation -10 < x < 3
Ben is playing a video game where he needs to collect gems to save the princess. In one level, he collects 3/5 of the gems in the first room. Then, he collects
How much will you pay per month if you buy a car worth $17499 at a 5.4% APR and spend 60 months paying off the loan
In a harvest of pumpkins, the mean diameter of the pumpkins is 21 inches with a standard deviation of 5 inches. The diameters are normally distributed, so 95% o