(x-4)^2-17=0 eching

$$( x - 4 ) ^ { 2 } - 17 = 0$$

x uchun yechish

$$x=\sqrt{17}+4\approx 8,123105626$$

$$x=4-\sqrt{17}\approx -0,123105626$$

Kvadrat ildizini topish bo'yicha qadamlar

17 ni tenglamaning ikkala tarafiga qo'shish.

$$\left(x-4\right)^{2}-17+17=17$$

O‘zidan 17 ayirilsa 0 qoladi.

$$\left(x-4\right)^{2}=17$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$x-4=\sqrt{17} x-4=-\sqrt{17}$$

4 ni tenglamaning ikkala tarafiga qo'shish.

$$x-4-\left(-4\right)=\sqrt{17}-\left(-4\right) x-4-\left(-4\right)=-\sqrt{17}-\left(-4\right)$$

O‘zidan -4 ayirilsa 0 qoladi.

$$x=\sqrt{17}-\left(-4\right) x=-\sqrt{17}-\left(-4\right)$$

\sqrt{17} dan -4 ni ayirish.

$$x=\sqrt{17}+4$$

-\sqrt{17} dan -4 ni ayirish.

$$x=4-\sqrt{17}$$

Tenglama yechildi.

$$x=\sqrt{17}+4 x=4-\sqrt{17}$$