1/200*x^2=137902 eching

$$1 / 200 \times x ^ { 2 } = 137902$$

x uchun yechish

$$x=380\sqrt{191}\approx 5251,704485212$$

$$x=-380\sqrt{191}\approx -5251,704485212$$

Kvadrat ildizini topish bo'yicha qadamlar

Ikki tarafini 200 va teskari kasri \frac{1}{200} ga ko‘paytiring.

$$x^{2}=137902\times 200$$

27580400 hosil qilish uchun 137902 va 200 ni ko'paytirish.

$$x^{2}=27580400$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=380\sqrt{191} x=-380\sqrt{191}$$

Kvadrat tenglamalaridan foydalanish qoidalari

Ikki tarafini 200 va teskari kasri \frac{1}{200} ga ko‘paytiring.

$$x^{2}=137902\times 200$$

27580400 hosil qilish uchun 137902 va 200 ni ko'paytirish.

$$x^{2}=27580400$$

Ikkala tarafdan 27580400 ni ayirish.

$$x^{2}-27580400=0$$

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 -27580400 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\left(-27580400\right)}}{2}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\left(-27580400\right)}}{2}$$

-4 ni -27580400 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{110321600}}{2}$$

110321600 ning kvadrat ildizini chiqarish.

$$x=\frac{0±760\sqrt{191}}{2}$$

x=\frac{0±760\sqrt{191}}{2} tenglamasini yeching, bunda ± musbat.

$$x=380\sqrt{191}$$

x=\frac{0±760\sqrt{191}}{2} tenglamasini yeching, bunda ± manfiy.

$$x=-380\sqrt{191}$$

Tenglama yechildi.

$$x=380\sqrt{191} x=-380\sqrt{191}$$