Question

Найдите корни уравнения:
(7m+6)(6-7m)=36-m(m+1)

Answer 1

Решение:
(7m+6)(6-7m)=36-m(m+1)
(6+7m)(6-7m)=36-m²-m
6² -(7m)²=36-m²-m
36-49m²-36+m²+m=0
-48m²+m=0
-m(48m-1)=0
-m=0
m=0: -1
m1=0
48m-1=0
48m=1
m=1 :48
m2=1/48

Ответ:(m1=0; m2=1/48)