u^2-4w-32=0 eching

$${ u }^{ 2 } -4w-32 = 0$$

w uchun yechish

$$w=\frac{u^{2}-32}{4}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Ikkala tarafdan u^{2} ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.

$$-4w-32=-u^{2}$$

32 ni ikki tarafga qo’shing.

$$-4w=-u^{2}+32$$

Tenglama standart shaklda.

$$-4w=32-u^{2}$$

Ikki tarafini -4 ga bo‘ling.

$$\frac{-4w}{-4}=\frac{32-u^{2}}{-4}$$

-4 ga bo'lish -4 ga ko'paytirishni bekor qiladi.

$$w=\frac{32-u^{2}}{-4}$$

-u^{2}+32 ni -4 ga bo'lish.

$$w=\frac{u^{2}}{4}-8$$

u uchun yechish (complex solution)

$$u=-2\sqrt{w+8}$$

$$u=2\sqrt{w+8}$$

u uchun yechish

$$u=2\sqrt{w+8}$$

$$u=-2\sqrt{w+8}\text{, }w\geq -8$$