(t-11)^2=(t-21)^2 eching

$$( t - 11 ) ^ { 2 } = ( t - 21 ) ^ { 2 }$$

t uchun yechish

$$t=16$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

\left(a-b\right)^{2}=a^{2}-2ab+b^{2} binom teoremasini \left(t-11\right)^{2} kengaytirilishi uchun ishlating.

$$t^{2}-22t+121=\left(t-21\right)^{2}$$

\left(a-b\right)^{2}=a^{2}-2ab+b^{2} binom teoremasini \left(t-21\right)^{2} kengaytirilishi uchun ishlating.

$$t^{2}-22t+121=t^{2}-42t+441$$

Ikkala tarafdan t^{2} ni ayirish.

$$t^{2}-22t+121-t^{2}=-42t+441$$

0 ni olish uchun t^{2} va -t^{2} ni birlashtirish.

$$-22t+121=-42t+441$$

42t ni ikki tarafga qo’shing.

$$-22t+121+42t=441$$

20t ni olish uchun -22t va 42t ni birlashtirish.

$$20t+121=441$$

Ikkala tarafdan 121 ni ayirish.

$$20t=441-121$$

320 olish uchun 441 dan 121 ni ayirish.

$$20t=320$$

Ikki tarafini 20 ga bo‘ling.

$$t=\frac{320}{20}$$

16 ni olish uchun 320 ni 20 ga bo‘ling.

$$t=16$$