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he6athdana4lolaH he6athdana4lolaH
  • 02-02-2017
  • Mathematics
Answered

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







x² – 14x = 15







{–22, 36}





{57, 71}



{–1, 15}





{–15, 29}

Verified Answer :

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 

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