(y-6)^2-(y+4)^2=0 eching

$$( y - 6 ) ^ { 2 } - ( y + 4 ) ^ { 2 } = 0$$

y uchun yechish

$$y=1$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

\left(a-b\right)^{2}=a^{2}-2ab+b^{2} binom teoremasini \left(y-6\right)^{2} kengaytirilishi uchun ishlating.

$$y^{2}-12y+36-\left(y+4\right)^{2}=0$$

\left(a+b\right)^{2}=a^{2}+2ab+b^{2} binom teoremasini \left(y+4\right)^{2} kengaytirilishi uchun ishlating.

$$y^{2}-12y+36-\left(y^{2}+8y+16\right)=0$$

y^{2}+8y+16 teskarisini topish uchun har birining teskarisini toping.

$$y^{2}-12y+36-y^{2}-8y-16=0$$

0 ni olish uchun y^{2} va -y^{2} ni birlashtirish.

$$-12y+36-8y-16=0$$

-20y ni olish uchun -12y va -8y ni birlashtirish.

$$-20y+36-16=0$$

20 olish uchun 36 dan 16 ni ayirish.

$$-20y+20=0$$

Ikkala tarafdan 20 ni ayirish. Har qanday sonni noldan ayirsangiz, o‘zining manfiyi chiqadi.

$$-20y=-20$$

Ikki tarafini -20 ga bo‘ling.

$$y=\frac{-20}{-20}$$

1 ni olish uchun -20 ni -20 ga bo‘ling.

$$y=1$$