(t-4)^2=(t+4)^2+32 eching

$$( t - 4 ) ^ { 2 } = ( t + 4 ) ^ { 2 } + 32$$

t uchun yechish

$$t=-2$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

\left(a-b\right)^{2}=a^{2}-2ab+b^{2} binom teoremasini \left(t-4\right)^{2} kengaytirilishi uchun ishlating.

$$t^{2}-8t+16=\left(t+4\right)^{2}+32$$

\left(a+b\right)^{2}=a^{2}+2ab+b^{2} binom teoremasini \left(t+4\right)^{2} kengaytirilishi uchun ishlating.

$$t^{2}-8t+16=t^{2}+8t+16+32$$

48 olish uchun 16 va 32'ni qo'shing.

$$t^{2}-8t+16=t^{2}+8t+48$$

Ikkala tarafdan t^{2} ni ayirish.

$$t^{2}-8t+16-t^{2}=8t+48$$

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

$$-8t+16=8t+48$$

Ikkala tarafdan 8t ni ayirish.

$$-8t+16-8t=48$$

-16t ni olish uchun -8t va -8t ni birlashtirish.

$$-16t+16=48$$

Ikkala tarafdan 16 ni ayirish.

$$-16t=48-16$$

32 olish uchun 48 dan 16 ni ayirish.

$$-16t=32$$

Ikki tarafini -16 ga bo‘ling.

$$t=\frac{32}{-16}$$

-2 ni olish uchun 32 ni -16 ga bo‘ling.

$$t=-2$$