-x^{2}+3x^{3}-(7+4x^2)-6x^3=-3x^3+5x^2-7 eching

$$- x ^ { 2 } + 3 x ^ { 3 } - ( 7 + 4 x ^ { 2 } ) - 6 x ^ { 3 } = - 3 x ^ { 3 } + 5 x ^ { 2 } - 7$$

x uchun yechish

$$x=0$$

Kvadrat ildizini topish bo'yicha qadamlar

7+4x^{2} teskarisini topish uchun har birining teskarisini toping.

$$-x^{2}+3x^{3}-7-4x^{2}-6x^{3}=-3x^{3}+5x^{2}-7$$

-3x^{3} ni olish uchun 3x^{3} va -6x^{3} ni birlashtirish.

$$-x^{2}-3x^{3}-7-4x^{2}=-3x^{3}+5x^{2}-7$$

3x^{3} ni ikki tarafga qo’shing.

$$-x^{2}-3x^{3}-7-4x^{2}+3x^{3}=5x^{2}-7$$

0 ni olish uchun -3x^{3} va 3x^{3} ni birlashtirish.

$$-x^{2}-7-4x^{2}=5x^{2}-7$$

Ikkala tarafdan 5x^{2} ni ayirish.

$$-x^{2}-7-4x^{2}-5x^{2}=-7$$

-9x^{2} ni olish uchun -4x^{2} va -5x^{2} ni birlashtirish.

$$-x^{2}-7-9x^{2}=-7$$

7 ni ikki tarafga qo’shing.

$$-x^{2}-9x^{2}=-7+7$$

0 olish uchun -7 va 7'ni qo'shing.

$$-x^{2}-9x^{2}=0$$

-10x^{2} ni olish uchun -x^{2} va -9x^{2} ni birlashtirish.

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

Ikki tarafini -10 ga bo‘ling. Nol bo‘lmagan har qanday sonni nolga ko‘paytirsangiz, nol bo‘ladi.

$$x^{2}=0$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=0 x=0$$

Tenglama yechildi. Yechimlar bir xil.

$$x=0$$

Kvadrat tenglamalaridan foydalanish qoidalari

7+4x^{2} teskarisini topish uchun har birining teskarisini toping.

$$-x^{2}+3x^{3}-7-4x^{2}-6x^{3}=-3x^{3}+5x^{2}-7$$

-3x^{3} ni olish uchun 3x^{3} va -6x^{3} ni birlashtirish.

$$-x^{2}-3x^{3}-7-4x^{2}=-3x^{3}+5x^{2}-7$$

3x^{3} ni ikki tarafga qo’shing.

$$-x^{2}-3x^{3}-7-4x^{2}+3x^{3}=5x^{2}-7$$

0 ni olish uchun -3x^{3} va 3x^{3} ni birlashtirish.

$$-x^{2}-7-4x^{2}=5x^{2}-7$$

Ikkala tarafdan 5x^{2} ni ayirish.

$$-x^{2}-7-4x^{2}-5x^{2}=-7$$

-9x^{2} ni olish uchun -4x^{2} va -5x^{2} ni birlashtirish.

$$-x^{2}-7-9x^{2}=-7$$

7 ni ikki tarafga qo’shing.

$$-x^{2}-7-9x^{2}+7=0$$

0 olish uchun -7 va 7'ni qo'shing.

$$-x^{2}-9x^{2}=0$$

-10x^{2} ni olish uchun -x^{2} va -9x^{2} ni birlashtirish.

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

Ikki tarafini -10 ga bo‘ling. Nol bo‘lmagan har qanday sonni nolga ko‘paytirsangiz, nol bo‘ladi.

$$x^{2}=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} 1 ni a, 0 ni b va 0 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}}}{2}$$

0^{2} ning kvadrat ildizini chiqarish.

$$x=\frac{0±0}{2}$$

0 ni 2 ga bo'lish.

$$x=0$$