Sumali sa IDNStudy.com at makuha ang mabilis at kaugnay na mga sagot. Ang aming komunidad ay handang magbigay ng malalim at maaasahang mga sagot, anuman ang kahirapan ng iyong mga katanungan.

Solving quadratic equation by: completing the square

Sagot :

x2-6x-72=0

group the terms containing x 
(x2-6x)-72=0

complete the square 
(x2-6x+__)    get the half of 6 .. the answer is 3 .. square the 3 the answer is 9 ..
(x2-6x+9) the last term should be always positive .. 
(x2-6x+9)-72-9 ..insert the 9 but it should be negative 

express as a square of binomial 
(x-3)2 -81=0

solve by extracting the square root 
you have to square root equation above 
(x-3)2 -81=0

x-3=positive negative 9 ..transpose the 3 .. it will be negative 3

x=9-3       x=3
x=-9-3      x=-12

hope i can help