8+11=10x^2 eching

$$8+11=10 { x }^{ 2 }$$

x uchun yechish

$$x = \frac{\sqrt{190}}{10} \approx 1,378404875$$

$$x = -\frac{\sqrt{190}}{10} \approx -1,378404875$$

Kvadrat ildizini topish bo'yicha qadamlar

19 olish uchun 8 va 11'ni qo'shing.

$$19=10x^{2}$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$10x^{2}=19$$

Ikki tarafini 10 ga bo‘ling.

$$x^{2}=\frac{19}{10}$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x=\frac{\sqrt{190}}{10} x=-\frac{\sqrt{190}}{10}$$

Kvadrat tenglamalaridan foydalanish qoidalari

19 olish uchun 8 va 11'ni qo'shing.

$$19=10x^{2}$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$10x^{2}=19$$

Ikkala tarafdan 19 ni ayirish.

$$10x^{2}-19=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} 10 ni a, 0 ni b va -19 ni c bilan almashtiring.

$$x=\frac{0±\sqrt{0^{2}-4\times 10\left(-19\right)}}{2\times 10}$$

0 kvadratini chiqarish.

$$x=\frac{0±\sqrt{-4\times 10\left(-19\right)}}{2\times 10}$$

-4 ni 10 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{-40\left(-19\right)}}{2\times 10}$$

-40 ni -19 marotabaga ko'paytirish.

$$x=\frac{0±\sqrt{760}}{2\times 10}$$

760 ning kvadrat ildizini chiqarish.

$$x=\frac{0±2\sqrt{190}}{2\times 10}$$

2 ni 10 marotabaga ko'paytirish.

$$x=\frac{0±2\sqrt{190}}{20}$$

x=\frac{0±2\sqrt{190}}{20} tenglamasini yeching, bunda ± musbat.

$$x=\frac{\sqrt{190}}{10}$$

x=\frac{0±2\sqrt{190}}{20} tenglamasini yeching, bunda ± manfiy.

$$x=-\frac{\sqrt{190}}{10}$$

Tenglama yechildi.

$$x=\frac{\sqrt{190}}{10} x=-\frac{\sqrt{190}}{10}$$