(х+5)^2+(х-10)^2=2х^2

Question

(х+5)^2+(х-10)^2=2х^2

Answer 1

(х+5)^2+(х-10)^2=2х^2

x²+10x+25+x²-20x+100=2x² ⇔  -10x+125=0  ⇔ x=125/10    x=12,5

проверка

(12,5+5)^2+(12,5-10)^2=2·12,5^2

(17,5)²+(2,5)²=306,25+6,25=312,5        2·12,5^2=2·156,25=312,5

верно