y=x^2-6x+5quadd eching

$$y = x ^ { 2 } - 6 x + 5 \quad d$$

d uchun yechish

$$d=\frac{y+6x-x^{2}}{5}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$x^{2}-6x+5d=y$$

Ikkala tarafdan x^{2} ni ayirish.

$$-6x+5d=y-x^{2}$$

6x ni ikki tarafga qo’shing.

$$5d=y-x^{2}+6x$$

Tenglama standart shaklda.

$$5d=y+6x-x^{2}$$

Ikki tarafini 5 ga bo‘ling.

$$\frac{5d}{5}=\frac{y+6x-x^{2}}{5}$$

5 ga bo'lish 5 ga ko'paytirishni bekor qiladi.

$$d=\frac{y+6x-x^{2}}{5}$$

x uchun yechish (complex solution)

$$x=\sqrt{y-5d+9}+3$$

$$x=-\sqrt{y-5d+9}+3$$

x uchun yechish

$$x=\sqrt{y-5d+9}+3$$

$$x=-\sqrt{y-5d+9}+3\text{, }y\geq -\left(9-5d\right)$$