-y^2=-100 eching

$$- y ^ { 2 } = - 100$$

y uchun yechish

$$y=10$$

$$y=-10$$

Kvadrat ildizini topish bo'yicha qadamlar

Ikki tarafini -1 ga bo‘ling.

$$y^{2}=\frac{-100}{-1}$$

Ikkala surat va maxrajdan manfiy belgini olib tashlash bilan \frac{-100}{-1} kasrini 100 ga soddalashtirish mumkin.

$$y^{2}=100$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$y=10 y=-10$$

Kvadrat tenglamalaridan foydalanish qoidalari

100 ni ikki tarafga qo’shing.

$$-y^{2}+100=0$$

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 100 ni c bilan almashtiring.

$$y=\frac{0±\sqrt{0^{2}-4\left(-1\right)\times 100}}{2\left(-1\right)}$$

0 kvadratini chiqarish.

$$y=\frac{0±\sqrt{-4\left(-1\right)\times 100}}{2\left(-1\right)}$$

-4 ni -1 marotabaga ko'paytirish.

$$y=\frac{0±\sqrt{4\times 100}}{2\left(-1\right)}$$

4 ni 100 marotabaga ko'paytirish.

$$y=\frac{0±\sqrt{400}}{2\left(-1\right)}$$

400 ning kvadrat ildizini chiqarish.

$$y=\frac{0±20}{2\left(-1\right)}$$

2 ni -1 marotabaga ko'paytirish.

$$y=\frac{0±20}{-2}$$

y=\frac{0±20}{-2} tenglamasini yeching, bunda ± musbat. 20 ni -2 ga bo'lish.

$$y=-10$$

y=\frac{0±20}{-2} tenglamasini yeching, bunda ± manfiy. -20 ni -2 ga bo'lish.

$$y=10$$

Tenglama yechildi.

$$y=-10 y=10$$