5m+sqrt{2z}=6 eching

$$5 m + \sqrt { 2 z } = 6$$

m uchun yechish

$$m=\frac{-\sqrt{2z}+6}{5}$$

$$z\geq 0$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Ikkala tarafdan \sqrt{2z} ni ayirish.

$$5m=6-\sqrt{2z}$$

Tenglama standart shaklda.

$$5m=-\sqrt{2z}+6$$

Ikki tarafini 5 ga bo‘ling.

$$\frac{5m}{5}=\frac{-\sqrt{2z}+6}{5}$$

5 ga bo'lish 5 ga ko'paytirishni bekor qiladi.

$$m=\frac{-\sqrt{2z}+6}{5}$$

z uchun yechish

$$z=\frac{\left(6-5m\right)^{2}}{2}$$

$$6-5m\geq 0$$

Ildizli tenglamalarni yechish qadamlari

Tenglamaning ikkala tarafidan 5m ni ayirish.

$$\sqrt{2z}+5m-5m=6-5m$$

O‘zidan 5m ayirilsa 0 qoladi.

$$\sqrt{2z}=6-5m$$

Tenglamaning ikkala taraf kvadratini chiqarish.

$$2z=\left(6-5m\right)^{2}$$

Ikki tarafini 2 ga bo‘ling.

$$\frac{2z}{2}=\frac{\left(6-5m\right)^{2}}{2}$$

2 ga bo'lish 2 ga ko'paytirishni bekor qiladi.

$$z=\frac{\left(6-5m\right)^{2}}{2}$$