x^2+13=47 eching

$$x ^ { 2 } + 13 = 47$$

x uchun yechish

$$x=\sqrt{34}\approx 5,830951895$$

$$x=-\sqrt{34}\approx -5,830951895$$

Kvadrat ildizini topish bo'yicha qadamlar

Ikkala tarafdan 13 ni ayirish.

$$x^{2}=47-13$$

34 olish uchun 47 dan 13 ni ayirish.

$$x^{2}=34$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=\sqrt{34} x=-\sqrt{34}$$

Kvadrat tenglamalaridan foydalanish qoidalari

Ikkala tarafdan 47 ni ayirish.

$$x^{2}+13-47=0$$

-34 olish uchun 13 dan 47 ni ayirish.

$$x^{2}-34=0$$

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 -34 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\left(-34\right)}}{2}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\left(-34\right)}}{2}$$

-4 ni -34 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{136}}{2}$$

136 ning kvadrat ildizini chiqarish.

$$x=\frac{0±2\sqrt{34}}{2}$$

x=\frac{0±2\sqrt{34}}{2} tenglamasini yeching, bunda ± musbat.

$$x=\sqrt{34}$$

x=\frac{0±2\sqrt{34}}{2} tenglamasini yeching, bunda ± manfiy.

$$x=-\sqrt{34}$$

Tenglama yechildi.

$$x=\sqrt{34} x=-\sqrt{34}$$