10x^2-2c-10=0 eching

$$10 { x }^{ 2 } -2c-10=0$$

c uchun yechish

$$c=5\left(x^{2}-1\right)$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Ikkala tarafdan 10x^{2} ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.

$$-2c-10=-10x^{2}$$

10 ni ikki tarafga qo’shing.

$$-2c=-10x^{2}+10$$

Tenglama standart shaklda.

$$-2c=10-10x^{2}$$

Ikki tarafini -2 ga bo‘ling.

$$\frac{-2c}{-2}=\frac{10-10x^{2}}{-2}$$

-2 ga bo'lish -2 ga ko'paytirishni bekor qiladi.

$$c=\frac{10-10x^{2}}{-2}$$

-10x^{2}+10 ni -2 ga bo'lish.

$$c=5x^{2}-5$$

x uchun yechish (complex solution)

$$x=-\frac{\sqrt{5\left(c+5\right)}}{5}$$

$$x=\frac{\sqrt{5\left(c+5\right)}}{5}$$

x uchun yechish

$$x=\frac{\sqrt{5\left(c+5\right)}}{5}$$

$$x=-\frac{\sqrt{5\left(c+5\right)}}{5}\text{, }c\geq -5$$