(x+10)(x+10)=100 eching

$$(x+10)(x+10)=100$$

x uchun yechish

$$x=0$$

$$x=-20$$

Kvadrat tenglamalaridan foydalanish qoidalari

\left(x+10\right)^{2} hosil qilish uchun x+10 va x+10 ni ko'paytirish.

$$\left(x+10\right)^{2}=100$$

\left(a+b\right)^{2}=a^{2}+2ab+b^{2} binom teoremasini \left(x+10\right)^{2} kengaytirilishi uchun ishlating.

$$x^{2}+20x+100=100$$

Ikkala tarafdan 100 ni ayirish.

$$x^{2}+20x+100-100=0$$

0 olish uchun 100 dan 100 ni ayirish.

$$x^{2}+20x=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} 1 ni a, 20 ni b va 0 ni c bilan almashtiring.

$$x=\frac{-20±\sqrt{20^{2}}}{2}$$

20^{2} ning kvadrat ildizini chiqarish.

$$x=\frac{-20±20}{2}$$

x=\frac{-20±20}{2} tenglamasini yeching, bunda ± musbat. -20 ni 20 ga qo'shish.

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

0 ni 2 ga bo'lish.

$$x=0$$

x=\frac{-20±20}{2} tenglamasini yeching, bunda ± manfiy. -20 dan 20 ni ayirish.

$$x=-\frac{40}{2}$$

-40 ni 2 ga bo'lish.

$$x=-20$$

Tenglama yechildi.

$$x=0 x=-20$$

Kvadratni yakunlash bo'yicha qadamlar

\left(x+10\right)^{2} hosil qilish uchun x+10 va x+10 ni ko'paytirish.

$$\left(x+10\right)^{2}=100$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$\sqrt{\left(x+10\right)^{2}}=\sqrt{100}$$

Qisqartirish.

$$x+10=10 x+10=-10$$

Tenglamaning ikkala tarafidan 10 ni ayirish.

$$x=0 x=-20$$