(y-4)^2-72=0 eching

$$( y - 4 ) ^ { 2 } - 72 = 0$$

y uchun yechish

$$y=6\sqrt{2}+4\approx 12,485281374$$

$$y=4-6\sqrt{2}\approx -4,485281374$$

Kvadrat ildizini topish bo'yicha qadamlar

72 ni tenglamaning ikkala tarafiga qo'shish.

$$\left(y-4\right)^{2}-72+72=72$$

O‘zidan 72 ayirilsa 0 qoladi.

$$\left(y-4\right)^{2}=72$$

Tenglamaning ikkala tarafining kvadrat ildizini chiqarish.

$$y-4=6\sqrt{2} y-4=-6\sqrt{2}$$

4 ni tenglamaning ikkala tarafiga qo'shish.

$$y-4-\left(-4\right)=6\sqrt{2}-\left(-4\right) y-4-\left(-4\right)=-6\sqrt{2}-\left(-4\right)$$

O‘zidan -4 ayirilsa 0 qoladi.

$$y=6\sqrt{2}-\left(-4\right) y=-6\sqrt{2}-\left(-4\right)$$

6\sqrt{2} dan -4 ni ayirish.

$$y=6\sqrt{2}+4$$

-6\sqrt{2} dan -4 ni ayirish.

$$y=4-6\sqrt{2}$$

Tenglama yechildi.

$$y=6\sqrt{2}+4 y=4-6\sqrt{2}$$