77=314*x*x eching

$$77=314 \times x \times x$$

x uchun yechish

$$x=\frac{\sqrt{24178}}{314}\approx 0,495199889$$

$$x=-\frac{\sqrt{24178}}{314}\approx -0,495199889$$

Kvadrat ildizini topish bo'yicha qadamlar

x^{2} hosil qilish uchun x va x ni ko'paytirish.

$$77=314x^{2}$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$314x^{2}=77$$

Ikki tarafini 314 ga bo‘ling.

$$x^{2}=\frac{77}{314}$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=\frac{\sqrt{24178}}{314} x=-\frac{\sqrt{24178}}{314}$$

Kvadrat tenglamalaridan foydalanish qoidalari

x^{2} hosil qilish uchun x va x ni ko'paytirish.

$$77=314x^{2}$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$314x^{2}=77$$

Ikkala tarafdan 77 ni ayirish.

$$314x^{2}-77=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} 314 ni a, 0 ni b va -77 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\times 314\left(-77\right)}}{2\times 314}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\times 314\left(-77\right)}}{2\times 314}$$

-4 ni 314 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{-1256\left(-77\right)}}{2\times 314}$$

-1256 ni -77 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{96712}}{2\times 314}$$

96712 ning kvadrat ildizini chiqarish.

$$x=\frac{0±2\sqrt{24178}}{2\times 314}$$

2 ni 314 marotabaga ko'paytirish.

$$x=\frac{0±2\sqrt{24178}}{628}$$

x=\frac{0±2\sqrt{24178}}{628} tenglamasini yeching, bunda ± musbat.

$$x=\frac{\sqrt{24178}}{314}$$

x=\frac{0±2\sqrt{24178}}{628} tenglamasini yeching, bunda ± manfiy.

$$x=-\frac{\sqrt{24178}}{314}$$

Tenglama yechildi.

$$x=\frac{\sqrt{24178}}{314} x=-\frac{\sqrt{24178}}{314}$$