25-a^2=41-(8-a)^2 eching

$$25 - a ^ { 2 } = 41 - ( 8 - a ) ^ { 2 }$$

a uchun yechish

$$a=3$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

\left(a-b\right)^{2}=a^{2}-2ab+b^{2} binom teoremasini \left(8-a\right)^{2} kengaytirilishi uchun ishlating.

$$25-a^{2}=41-\left(64-16a+a^{2}\right)$$

64-16a+a^{2} teskarisini topish uchun har birining teskarisini toping.

$$25-a^{2}=41-64+16a-a^{2}$$

-23 olish uchun 41 dan 64 ni ayirish.

$$25-a^{2}=-23+16a-a^{2}$$

Ikkala tarafdan 16a ni ayirish.

$$25-a^{2}-16a=-23-a^{2}$$

a^{2} ni ikki tarafga qo’shing.

$$25-a^{2}-16a+a^{2}=-23$$

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

$$25-16a=-23$$

Ikkala tarafdan 25 ni ayirish.

$$-16a=-23-25$$

-48 olish uchun -23 dan 25 ni ayirish.

$$-16a=-48$$

Ikki tarafini -16 ga bo‘ling.

$$a=\frac{-48}{-16}$$

3 ni olish uchun -48 ni -16 ga bo‘ling.

$$a=3$$