x^2+5=149 eching

$$x ^ { 2 } + 5 = 149$$

x uchun yechish

$$x=12$$

$$x=-12$$

Kvadratlar farqidan foydalangan qadamlar

Ikkala tarafdan 149 ni ayirish.

$$x^{2}+5-149=0$$

-144 olish uchun 5 dan 149 ni ayirish.

$$x^{2}-144=0$$

Hisoblang: x^{2}-144. x^{2}-144 ni x^{2}-12^{2} sifatida qaytadan yozish. Kvadratlarning farqini ushbu formula bilan hisoblash mumkin: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

$$\left(x-12\right)\left(x+12\right)=0$$

Tenglamani yechish uchun x-12=0 va x+12=0 ni yeching.

$$x=12 x=-12$$

Kvadrat ildizini topish bo'yicha qadamlar

Ikkala tarafdan 5 ni ayirish.

$$x^{2}=149-5$$

144 olish uchun 149 dan 5 ni ayirish.

$$x^{2}=144$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=12 x=-12$$

Kvadrat tenglamalaridan foydalanish qoidalari

Ikkala tarafdan 149 ni ayirish.

$$x^{2}+5-149=0$$

-144 olish uchun 5 dan 149 ni ayirish.

$$x^{2}-144=0$$

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 -144 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\left(-144\right)}}{2}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\left(-144\right)}}{2}$$

-4 ni -144 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{576}}{2}$$

576 ning kvadrat ildizini chiqarish.

$$x=\frac{0±24}{2}$$

x=\frac{0±24}{2} tenglamasini yeching, bunda ± musbat. 24 ni 2 ga bo'lish.

$$x=12$$

x=\frac{0±24}{2} tenglamasini yeching, bunda ± manfiy. -24 ni 2 ga bo'lish.

$$x=-12$$

Tenglama yechildi.

$$x=12 x=-12$$