(2x+3/4)^2=49/25 eching

$$( 2 x + \frac { 3 } { 4 } ) ^ { 2 } = \frac { 49 } { 25 }$$

x uchun yechish

$$x=\frac{13}{40}=0,325$$

$$x = -\frac{43}{40} = -1\frac{3}{40} = -1,075$$

Kvadrat ildizini topish bo'yicha qadamlar

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$2x+\frac{3}{4}=\frac{7}{5} 2x+\frac{3}{4}=-\frac{7}{5}$$

Tenglamaning ikkala tarafidan \frac{3}{4} ni ayirish.

$$2x+\frac{3}{4}-\frac{3}{4}=\frac{7}{5}-\frac{3}{4} 2x+\frac{3}{4}-\frac{3}{4}=-\frac{7}{5}-\frac{3}{4}$$

O‘zidan \frac{3}{4} ayirilsa 0 qoladi.

$$2x=\frac{7}{5}-\frac{3}{4} 2x=-\frac{7}{5}-\frac{3}{4}$$

Umumiy maxrajni topib va suratlarni ayirib \frac{3}{4} ni \frac{7}{5} dan ayirish. So'ngra imkoni boricha kasrni eng kichik shartga qisqartirish.

$$2x=\frac{13}{20}$$

Umumiy maxrajni topib va suratlarni ayirib \frac{3}{4} ni -\frac{7}{5} dan ayirish. So'ngra imkoni boricha kasrni eng kichik shartga qisqartirish.

$$2x=-\frac{43}{20}$$

Ikki tarafini 2 ga bo‘ling.

$$\frac{2x}{2}=\frac{\frac{13}{20}}{2} \frac{2x}{2}=-\frac{\frac{43}{20}}{2}$$

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

$$x=\frac{\frac{13}{20}}{2} x=-\frac{\frac{43}{20}}{2}$$

\frac{13}{20} ni 2 ga bo'lish.

$$x=\frac{13}{40}$$

-\frac{43}{20} ni 2 ga bo'lish.

$$x=-\frac{43}{40}$$

Tenglama yechildi.

$$x=\frac{13}{40} x=-\frac{43}{40}$$