96+323=33v^2/56 eching

$$96 + 323 = \frac { 33 v ^ { 2 } } { 56 }$$

v uchun yechish

$$v = \frac{2 \sqrt{193578}}{33} \approx 26,665151472$$

$$v = -\frac{2 \sqrt{193578}}{33} \approx -26,665151472$$

Kvadrat ildizini topish bo'yicha qadamlar

Tenglamaning ikkala tarafini 56 ga ko'paytirish.

$$5376+18088=33v^{2}$$

23464 olish uchun 5376 va 18088'ni qo'shing.

$$23464=33v^{2}$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$33v^{2}=23464$$

Ikki tarafini 33 ga bo‘ling.

$$v^{2}=\frac{23464}{33}$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$v=\frac{2\sqrt{193578}}{33} v=-\frac{2\sqrt{193578}}{33}$$

Kvadrat tenglamalaridan foydalanish qoidalari

Tenglamaning ikkala tarafini 56 ga ko'paytirish.

$$5376+18088=33v^{2}$$

23464 olish uchun 5376 va 18088'ni qo'shing.

$$23464=33v^{2}$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$33v^{2}=23464$$

Ikkala tarafdan 23464 ni ayirish.

$$33v^{2}-23464=0$$

Ushbu tenglama standart shaklidadir: ax^{2}+bx+c=0. Kvadrat tenglama formulasida, \frac{-b±\sqrt{b^{2}-4ac}}{2a} 33 ni a, 0 ni b va -23464 ni c bilan almashtiring.

$$v=\frac{0±\sqrt{0^{2}-4\times 33\left(-23464\right)}}{2\times 33}$$

0 kvadratini chiqarish.

$$v=\frac{0±\sqrt{-4\times 33\left(-23464\right)}}{2\times 33}$$

-4 ni 33 marotabaga ko'paytirish.

$$v=\frac{0±\sqrt{-132\left(-23464\right)}}{2\times 33}$$

-132 ni -23464 marotabaga ko'paytirish.

$$v=\frac{0±\sqrt{3097248}}{2\times 33}$$

3097248 ning kvadrat ildizini chiqarish.

$$v=\frac{0±4\sqrt{193578}}{2\times 33}$$

2 ni 33 marotabaga ko'paytirish.

$$v=\frac{0±4\sqrt{193578}}{66}$$

v=\frac{0±4\sqrt{193578}}{66} tenglamasini yeching, bunda ± musbat.

$$v=\frac{2\sqrt{193578}}{33}$$

v=\frac{0±4\sqrt{193578}}{66} tenglamasini yeching, bunda ± manfiy.

$$v=-\frac{2\sqrt{193578}}{33}$$

Tenglama yechildi.

$$v=\frac{2\sqrt{193578}}{33} v=-\frac{2\sqrt{193578}}{33}$$