Question

решите уравнение. (x+14)^2=9x^2

Answer 1

(x+1/4)^2=9x^2
x^2+1/2x+1/16=9х^2
16x^2+8x+1=144x^2
16x^2+8x+1-144x^2=0
-128x^2+8x+1=0
128x^2-8x-1=0
x=-(-8)+- √(-8)^2-4*128*(-1)/2*128
x=8 +-√64+512/256
x=8+-24/256
x=8+24/256
x=8-24/256
x=1/8
x=-1/16
Ответ:x=1/8
x=-1/16