frac{2*5sqrt{7}}{2-5*7}=a*sqrt{7} eching

$$\frac { 2 \cdot 5 \sqrt { 7 } } { 2 - 5 \cdot 7 } = a \cdot \sqrt { 7 }$$

a uchun yechish

$$a=-\frac{10}{33}\approx -0,303030303$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

10 hosil qilish uchun 2 va 5 ni ko'paytirish.

$$\frac{10\sqrt{7}}{2-5\times 7}=a\sqrt{7}$$

35 hosil qilish uchun 5 va 7 ni ko'paytirish.

$$\frac{10\sqrt{7}}{2-35}=a\sqrt{7}$$

-33 olish uchun 2 dan 35 ni ayirish.

$$\frac{10\sqrt{7}}{-33}=a\sqrt{7}$$

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$a\sqrt{7}=\frac{10\sqrt{7}}{-33}$$

Tenglamaning ikkala tarafini -33 ga ko'paytirish.

$$-33a\sqrt{7}=10\sqrt{7}$$

Tenglama standart shaklda.

$$\left(-33\sqrt{7}\right)a=10\sqrt{7}$$

Ikki tarafini -33\sqrt{7} ga bo‘ling.

$$\frac{\left(-33\sqrt{7}\right)a}{-33\sqrt{7}}=\frac{10\sqrt{7}}{-33\sqrt{7}}$$

-33\sqrt{7} ga bo'lish -33\sqrt{7} ga ko'paytirishni bekor qiladi.

$$a=\frac{10\sqrt{7}}{-33\sqrt{7}}$$

10\sqrt{7} ni -33\sqrt{7} ga bo'lish.

$$a=-\frac{10}{33}$$