w^2=10w eching

$$w ^ { 2 } = 10 w$$

w uchun yechish

$$w=10$$

$$w=0$$

Faktorlash qadamlari

Ikkala tarafdan 10w ni ayirish.

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

w omili.

$$w\left(w-10\right)=0$$

Tenglamani yechish uchun w=0 va w-10=0 ni yeching.

$$w=0 w=10$$

Kvadrat tenglamalaridan foydalanish qoidalari

Ikkala tarafdan 10w ni ayirish.

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

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} 1 ni a, -10 ni b va 0 ni c bilan almashtiring.

$$w=\frac{-\left(-10\right)±\sqrt{\left(-10\right)^{2}}}{2}$$

\left(-10\right)^{2} ning kvadrat ildizini chiqarish.

$$w=\frac{-\left(-10\right)±10}{2}$$

-10 ning teskarisi 10 ga teng.

$$w=\frac{10±10}{2}$$

w=\frac{10±10}{2} tenglamasini yeching, bunda ± musbat. 10 ni 10 ga qo'shish.

$$w=\frac{20}{2}$$

20 ni 2 ga bo'lish.

$$w=10$$

w=\frac{10±10}{2} tenglamasini yeching, bunda ± manfiy. 10 dan 10 ni ayirish.

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

0 ni 2 ga bo'lish.

$$w=0$$

Tenglama yechildi.

$$w=10 w=0$$

Kvadratni yakunlash bo'yicha qadamlar

Ikkala tarafdan 10w ni ayirish.

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

-10 ni bo‘lish, x shartining koeffitsienti, 2 ga -5 olish uchun. Keyin, -5 ning kvadratini tenglamaning ikkala tarafiga qo‘shing. Ushbu qadam tenglamaning chap qismini mukammal kvadrat sifatida hosil qiladi.

$$w^{2}-10w+\left(-5\right)^{2}=\left(-5\right)^{2}$$

-5 kvadratini chiqarish.

$$w^{2}-10w+25=25$$

w^{2}-10w+25 omili. Odatda, x^{2}+bx+c mukammal kvadrat bo'lsa, u doimo \left(x+\frac{b}{2}\right)^{2} omil sifatida bo'lishi mumkin.

$$\left(w-5\right)^{2}=25$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$\sqrt{\left(w-5\right)^{2}}=\sqrt{25}$$

Qisqartirish.

$$w-5=5 w-5=-5$$

5 ni tenglamaning ikkala tarafiga qo'shish.

$$w=10 w=0$$