-5x^2+110-115=0 eching

$$-5 { x }^{ 2 } +110-115=0$$

x uchun yechish (complex solution)

$$x=-i$$

$$x=i$$

Kvadrat ildizini topish bo'yicha qadamlar

-5 olish uchun 110 dan 115 ni ayirish.

$$-5x^{2}-5=0$$

5 ni ikki tarafga qo’shing. Har qanday songa nolni qo‘shsangiz, o‘zi chiqadi.

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

Ikki tarafini -5 ga bo‘ling.

$$x^{2}=\frac{5}{-5}$$

-1 ni olish uchun 5 ni -5 ga bo‘ling.

$$x^{2}=-1$$

Tenglama yechildi.

$$x=i x=-i$$

Kvadrat tenglamalaridan foydalanish qoidalari

-5 olish uchun 110 dan 115 ni ayirish.

$$-5x^{2}-5=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} -5 ni a, 0 ni b va -5 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\left(-5\right)\left(-5\right)}}{2\left(-5\right)}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\left(-5\right)\left(-5\right)}}{2\left(-5\right)}$$

-4 ni -5 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{20\left(-5\right)}}{2\left(-5\right)}$$

20 ni -5 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{-100}}{2\left(-5\right)}$$

-100 ning kvadrat ildizini chiqarish.

$$x=\frac{0±10i}{2\left(-5\right)}$$

2 ni -5 marotabaga ko'paytirish.

$$x=\frac{0±10i}{-10}$$

x=\frac{0±10i}{-10} tenglamasini yeching, bunda ± musbat.

$$x=-i$$

x=\frac{0±10i}{-10} tenglamasini yeching, bunda ± manfiy.

$$x=i$$

Tenglama yechildi.

$$x=-i x=i$$