x^2=e eching

$${ x }^{ 2 } =e$$

x uchun yechish

$$x=\sqrt{e}\approx 1,648721271$$

$$x=-\sqrt{e}\approx -1,648721271$$

Kvadrat ildizini topish bo'yicha qadamlar

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

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

Kvadrat tenglamalaridan foydalanish qoidalari

Bu kabi kvadrat tenglamalarni x^{2} sharti bilan, biroq x shartisiz hamon kvadrat tenglamasidan foydalanib yechish mumkin, \frac{-b±\sqrt{b^{2}-4ac}}{2a}, ular standart formulaga solingandan so'ng: ax^{2}+bx+c=0.

$$x^{2}=e$$

Tenglamaning ikkala tarafidan e ni ayirish.

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

O‘zidan e ayirilsa 0 qoladi.

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

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 -e ni c bilan almashtiring.

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

0 kvadratini chiqarish.

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

-4 ni -e marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{4e}}{2}$$

4e ning kvadrat ildizini chiqarish.

$$x=\frac{0±2\sqrt{e}}{2}$$

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

$$x=\sqrt{e}$$

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

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

Tenglama yechildi.

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