x^2=400+left(60-xright)^2 eching

$${ x }^{ 2 } =400+ { \left(60-x \right) }^{ 2 }$$

x uchun yechish

$$x = \frac{100}{3} = 33\frac{1}{3} \approx 33,333333333$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

\left(a-b\right)^{2}=a^{2}-2ab+b^{2} binom teoremasini \left(60-x\right)^{2} kengaytirilishi uchun ishlating.

$$x^{2}=400+3600-120x+x^{2}$$

4000 olish uchun 400 va 3600'ni qo'shing.

$$x^{2}=4000-120x+x^{2}$$

120x ni ikki tarafga qo’shing.

$$x^{2}+120x=4000+x^{2}$$

Ikkala tarafdan x^{2} ni ayirish.

$$x^{2}+120x-x^{2}=4000$$

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

$$120x=4000$$

Ikki tarafini 120 ga bo‘ling.

$$x=\frac{4000}{120}$$

\frac{4000}{120} ulushini 40 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$x=\frac{100}{3}$$