Решить подробно
(2t+1)/(2t+0,5)=6t/5 t-?

ответ: решение на фото.

Объяснение:

t₁= - 5/12, t₂=1

Объяснение:

(2t+1)/(2t+0,5)=6t/5

2t=1/2t+1/2=6*t/5

2t+1/2t+1/2=6t/5

2t+1/4t+1/2=6t/5

(2t+1)*2/4t+1=6t/5

4t+2/4t+1=6t/5

5(4t+2)=6t*(4t+1)

5(4t+2)-6t*(4t+1)=0

20t+10-6t*(4t+1)=0

20t+10-24²-6t=0

14t+10-24²=0

-24t²+14+10=0

12t²-7t-5=0

12t²+5t-12t-5=0

t*(12t+5)-12t-5=0

t*(12t+5)-(12t+5)

(12t+5)*(t-1)=0

12t+5=0

t-1=0

t= -5/12,t - 0,25

t=1

t= -5/12,t - 1/4