1330=16x^2 eching

$$1330=16 { x }^{ 2 }$$

x uchun yechish

$$x = \frac{\sqrt{1330}}{4} \approx 9,117291264$$

$$x = -\frac{\sqrt{1330}}{4} \approx -9,117291264$$

Kvadrat ildizini topish bo'yicha qadamlar

Ikki tarafini 16 ga bo‘ling.

$$\frac{1330}{16}=x^{2}$$

\frac{1330}{16} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{665}{8}=x^{2}$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$x^{2}=\frac{665}{8}$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=\frac{\sqrt{1330}}{4} x=-\frac{\sqrt{1330}}{4}$$

Kvadrat tenglamalaridan foydalanish qoidalari

Ikki tarafini 16 ga bo‘ling.

$$\frac{1330}{16}=x^{2}$$

\frac{1330}{16} ulushini 2 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$\frac{665}{8}=x^{2}$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$x^{2}=\frac{665}{8}$$

Ikkala tarafdan \frac{665}{8} ni ayirish.

$$x^{2}-\frac{665}{8}=0$$

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 -\frac{665}{8} ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\left(-\frac{665}{8}\right)}}{2}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\left(-\frac{665}{8}\right)}}{2}$$

-4 ni -\frac{665}{8} marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{\frac{665}{2}}}{2}$$

\frac{665}{2} ning kvadrat ildizini chiqarish.

$$x=\frac{0±\frac{\sqrt{1330}}{2}}{2}$$

x=\frac{0±\frac{\sqrt{1330}}{2}}{2} tenglamasini yeching, bunda ± musbat.

$$x=\frac{\sqrt{1330}}{4}$$

x=\frac{0±\frac{\sqrt{1330}}{2}}{2} tenglamasini yeching, bunda ± manfiy.

$$x=-\frac{\sqrt{1330}}{4}$$

Tenglama yechildi.

$$x=\frac{\sqrt{1330}}{4} x=-\frac{\sqrt{1330}}{4}$$