x^2div(2*98)=93 eching

$${ x }^{ 2 } \div (2 \times 98)=93$$

x uchun yechish

$$x=14\sqrt{93}\approx 135,011110654$$

$$x=-14\sqrt{93}\approx -135,011110654$$

Kvadrat ildizini topish bo'yicha qadamlar

196 hosil qilish uchun 2 va 98 ni ko'paytirish.

$$\frac{x^{2}}{196}=93$$

Ikkala tarafini 196 ga ko‘paytiring.

$$x^{2}=93\times 196$$

18228 hosil qilish uchun 93 va 196 ni ko'paytirish.

$$x^{2}=18228$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=14\sqrt{93} x=-14\sqrt{93}$$

Kvadrat tenglamalaridan foydalanish qoidalari

196 hosil qilish uchun 2 va 98 ni ko'paytirish.

$$\frac{x^{2}}{196}=93$$

Ikkala tarafdan 93 ni ayirish.

$$\frac{x^{2}}{196}-93=0$$

Tenglamaning ikkala tarafini 196 ga ko'paytirish.

$$x^{2}-18228=0$$

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 -18228 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\left(-18228\right)}}{2}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\left(-18228\right)}}{2}$$

-4 ni -18228 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{72912}}{2}$$

72912 ning kvadrat ildizini chiqarish.

$$x=\frac{0±28\sqrt{93}}{2}$$

x=\frac{0±28\sqrt{93}}{2} tenglamasini yeching, bunda ± musbat.

$$x=14\sqrt{93}$$

x=\frac{0±28\sqrt{93}}{2} tenglamasini yeching, bunda ± manfiy.

$$x=-14\sqrt{93}$$

Tenglama yechildi.

$$x=14\sqrt{93} x=-14\sqrt{93}$$