2x^2+3x+(1-a)=0 eching

$$2 x ^ { 2 } + 3 x + ( 1 - a ) = 0$$

a uchun yechish

$$a=\left(x+1\right)\left(2x+1\right)$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

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

$$3x+1-a=-2x^{2}$$

Ikkala tarafdan 3x ni ayirish.

$$1-a=-2x^{2}-3x$$

Ikkala tarafdan 1 ni ayirish.

$$-a=-2x^{2}-3x-1$$

Ikki tarafini -1 ga bo‘ling.

$$\frac{-a}{-1}=-\frac{\left(x+1\right)\left(2x+1\right)}{-1}$$

-1 ga bo'lish -1 ga ko'paytirishni bekor qiladi.

$$a=-\frac{\left(x+1\right)\left(2x+1\right)}{-1}$$

-\left(1+x\right)\left(1+2x\right) ni -1 ga bo'lish.

$$a=\left(x+1\right)\left(2x+1\right)$$

x uchun yechish (complex solution)

$$x=\frac{\sqrt{8a+1}-3}{4}$$

$$x=\frac{-\sqrt{8a+1}-3}{4}$$

x uchun yechish

$$x=\frac{\sqrt{8a+1}-3}{4}$$

$$x=\frac{-\sqrt{8a+1}-3}{4}\text{, }a\geq -\frac{1}{8}$$