36=(9-b)^2-b^2 eching

$$36 = ( 9 - b ) ^ { 2 } - b ^ { 2 }$$

b uchun yechish

$$b = \frac{5}{2} = 2\frac{1}{2} = 2,5$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

\left(a-b\right)^{2}=a^{2}-2ab+b^{2} binom teoremasini \left(9-b\right)^{2} kengaytirilishi uchun ishlating.

$$36=81-18b+b^{2}-b^{2}$$

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

$$36=81-18b$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$81-18b=36$$

Ikkala tarafdan 81 ni ayirish.

$$-18b=36-81$$

-45 olish uchun 36 dan 81 ni ayirish.

$$-18b=-45$$

Ikki tarafini -18 ga bo‘ling.

$$b=\frac{-45}{-18}$$

\frac{-45}{-18} ulushini -9 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$b=\frac{5}{2}$$