Respuesta :
2x^2-8x-24=0
Divide the whole equation by 2.
x^2-4x-12=0
Complete the square
x^2-4x+4-16=0
(x-2)^2 -16=0
(x-2)^2=16
Take the square root of each side.
(x-2)=4 and (-(x-2))=4
x=6 and x=-2
Divide the whole equation by 2.
x^2-4x-12=0
Complete the square
x^2-4x+4-16=0
(x-2)^2 -16=0
(x-2)^2=16
Take the square root of each side.
(x-2)=4 and (-(x-2))=4
x=6 and x=-2
An easy formula to use for this is -b+-√b^2-4(a×c)] /2(a) . This gave me ;
8+-√-8^2-4(2(-24)) /2(2)
8+-√64-4(-48)/4
8+-√64+192]/4
8+-√256]/4
8+-16/4
8+16=24/4=6
8-16=-8/4=-2
X=6&-2
8+-√-8^2-4(2(-24)) /2(2)
8+-√64-4(-48)/4
8+-√64+192]/4
8+-√256]/4
8+-16/4
8+16=24/4=6
8-16=-8/4=-2
X=6&-2