4(8-5x)^2-49=-24 eching

$$4 ( 8 - 5 x ) ^ { 2 } - 49 = - 24$$

x uchun yechish

$$x = \frac{11}{10} = 1\frac{1}{10} = 1,1$$

$$x = \frac{21}{10} = 2\frac{1}{10} = 2,1$$

Kvadrat ildizini topish bo'yicha qadamlar

49 ni tenglamaning ikkala tarafiga qo'shish.

$$4\left(-5x+8\right)^{2}-49+49=-24+49$$

O‘zidan 49 ayirilsa 0 qoladi.

$$4\left(-5x+8\right)^{2}=-24+49$$

-24 ni 49 ga qo'shish.

$$4\left(-5x+8\right)^{2}=25$$

Ikki tarafini 4 ga bo‘ling.

$$\frac{4\left(-5x+8\right)^{2}}{4}=\frac{25}{4}$$

4 ga bo'lish 4 ga ko'paytirishni bekor qiladi.

$$\left(-5x+8\right)^{2}=\frac{25}{4}$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$-5x+8=\frac{5}{2} -5x+8=-\frac{5}{2}$$

Tenglamaning ikkala tarafidan 8 ni ayirish.

$$-5x+8-8=\frac{5}{2}-8 -5x+8-8=-\frac{5}{2}-8$$

O‘zidan 8 ayirilsa 0 qoladi.

$$-5x=\frac{5}{2}-8 -5x=-\frac{5}{2}-8$$

\frac{5}{2} dan 8 ni ayirish.

$$-5x=-\frac{11}{2}$$

-\frac{5}{2} dan 8 ni ayirish.

$$-5x=-\frac{21}{2}$$

Ikki tarafini -5 ga bo‘ling.

$$\frac{-5x}{-5}=-\frac{\frac{11}{2}}{-5} \frac{-5x}{-5}=-\frac{\frac{21}{2}}{-5}$$

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

$$x=-\frac{\frac{11}{2}}{-5} x=-\frac{\frac{21}{2}}{-5}$$

-\frac{11}{2} ni -5 ga bo'lish.

$$x=\frac{11}{10}$$

-\frac{21}{2} ni -5 ga bo'lish.

$$x=\frac{21}{10}$$

Tenglama yechildi.

$$x=\frac{11}{10} x=\frac{21}{10}$$