1/4y-3x^2=0 eching

$$\frac { 1 } { 4 } y - 3 x ^ { 2 } = 0$$

y uchun yechish

$$y=12x^{2}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

3x^{2} ni ikki tarafga qo’shing. Har qanday songa nolni qo‘shsangiz, o‘zi chiqadi.

$$\frac{1}{4}y=3x^{2}$$

Ikkala tarafini 4 ga ko‘paytiring.

$$\frac{\frac{1}{4}y}{\frac{1}{4}}=\frac{3x^{2}}{\frac{1}{4}}$$

\frac{1}{4} ga bo'lish \frac{1}{4} ga ko'paytirishni bekor qiladi.

$$y=\frac{3x^{2}}{\frac{1}{4}}$$

3x^{2} ni \frac{1}{4} ga bo'lish 3x^{2} ga k'paytirish \frac{1}{4} ga qaytarish.

$$y=12x^{2}$$

x uchun yechish (complex solution)

$$x=-\frac{\sqrt{3y}}{6}$$

$$x=\frac{\sqrt{3y}}{6}$$

x uchun yechish

$$x=\frac{\sqrt{3y}}{6}$$

$$x=-\frac{\sqrt{3y}}{6}\text{, }y\geq 0$$