30=45+274θ-6007a^2 eching

$$30 = 45 + 274 \theta - 6007 a ^ { 2 }$$

θ uchun yechish

$$\theta =\frac{6007a^{2}-15}{274}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Tomonlarni almashtirib, barcha oʻzgaruvchi shartlar chap tomonga oʻtkazing.

$$45+274\theta -6007a^{2}=30$$

Ikkala tarafdan 45 ni ayirish.

$$274\theta -6007a^{2}=30-45$$

-15 olish uchun 30 dan 45 ni ayirish.

$$274\theta -6007a^{2}=-15$$

6007a^{2} ni ikki tarafga qo’shing.

$$274\theta =-15+6007a^{2}$$

Tenglama standart shaklda.

$$274\theta =6007a^{2}-15$$

Ikki tarafini 274 ga bo‘ling.

$$\frac{274\theta }{274}=\frac{6007a^{2}-15}{274}$$

274 ga bo'lish 274 ga ko'paytirishni bekor qiladi.

$$\theta =\frac{6007a^{2}-15}{274}$$

a uchun yechish (complex solution)

$$a=-\frac{\sqrt{1645918\theta +90105}}{6007}$$

$$a=\frac{\sqrt{1645918\theta +90105}}{6007}$$

a uchun yechish

$$a=\frac{\sqrt{1645918\theta +90105}}{6007}$$

$$a=-\frac{\sqrt{1645918\theta +90105}}{6007}\text{, }\theta \geq -\frac{15}{274}$$