gamma^2-2gamma=0 eching

$$\gamma ^ { 2 } - 2 \gamma = 0$$

γ uchun yechish

$$\gamma =2$$

$$\gamma =0$$

Faktorlash qadamlari

\gamma omili.

$$\gamma \left(\gamma -2\right)=0$$

Tenglamani yechish uchun \gamma =0 va \gamma -2=0 ni yeching.

$$\gamma =0 \gamma =2$$

Kvadrat tenglamalaridan foydalanish qoidalari

ax^{2}+bx+c=0 shaklidagi barcha tenglamalarni kvadrat formulasi bilan yechish mumkin: \frac{-b±\sqrt{b^{2}-4ac}}{2a}. Kvadrat formula ikki yechmni taqdim qiladi, biri ± qo'shish bo'lganda, va ikkinchisi ayiruv bo'lganda.

$$\gamma ^{2}-2\gamma =0$$

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

$$\gamma =\frac{-\left(-2\right)±\sqrt{\left(-2\right)^{2}}}{2}$$

\left(-2\right)^{2} ning kvadrat ildizini chiqarish.

$$\gamma =\frac{-\left(-2\right)±2}{2}$$

-2 ning teskarisi 2 ga teng.

$$\gamma =\frac{2±2}{2}$$

\gamma =\frac{2±2}{2} tenglamasini yeching, bunda ± musbat. 2 ni 2 ga qo'shish.

$$\gamma =\frac{4}{2}$$

4 ni 2 ga bo'lish.

$$\gamma =2$$

\gamma =\frac{2±2}{2} tenglamasini yeching, bunda ± manfiy. 2 dan 2 ni ayirish.

$$\gamma =\frac{0}{2}$$

0 ni 2 ga bo'lish.

$$\gamma =0$$

Tenglama yechildi.

$$\gamma =2 \gamma =0$$

Kvadratni yakunlash bo'yicha qadamlar

Bu kabi kvadrat tenglamalarni kvadratni yakunlab yechish mumkin. Kvadratni yechish uchun tenglama avval ushbu shaklda bo'lishi shart: x^{2}+bx=c.

$$\gamma ^{2}-2\gamma =0$$

-2 ni bo‘lish, x shartining koeffitsienti, 2 ga -1 olish uchun. Keyin, -1 ning kvadratini tenglamaning ikkala tarafiga qo‘shing. Ushbu qadam tenglamaning chap qismini mukammal kvadrat sifatida hosil qiladi.

$$\gamma ^{2}-2\gamma +1=1$$

\gamma ^{2}-2\gamma +1 omili. Odatda, x^{2}+bx+c mukammal kvadrat bo'lsa, u doimo \left(x+\frac{b}{2}\right)^{2} omil sifatida bo'lishi mumkin.

$$\left(\gamma -1\right)^{2}=1$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$\sqrt{\left(\gamma -1\right)^{2}}=\sqrt{1}$$

Qisqartirish.

$$\gamma -1=1 \gamma -1=-1$$

1 ni tenglamaning ikkala tarafiga qo'shish.

$$\gamma =2 \gamma =0$$