(x+6)(x-6)-3x=x^2-25 eching

$$( x + 6 ) ( x - 6 ) - 3 x = x ^ { 2 } - 25$$

x uchun yechish

$$x = -\frac{11}{3} = -3\frac{2}{3} \approx -3,666666667$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Hisoblang: \left(x+6\right)\left(x-6\right). Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}. 6 kvadratini chiqarish.

$$x^{2}-36-3x=x^{2}-25$$

Ikkala tarafdan x^{2} ni ayirish.

$$x^{2}-36-3x-x^{2}=-25$$

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

$$-36-3x=-25$$

36 ni ikki tarafga qo’shing.

$$-3x=-25+36$$

11 olish uchun -25 va 36'ni qo'shing.

$$-3x=11$$

Ikki tarafini -3 ga bo‘ling.

$$x=\frac{11}{-3}$$

\frac{11}{-3} kasri manfiy belgini olib tashlash bilan -\frac{11}{3} sifatida qayta yozilishi mumkin.

$$x=-\frac{11}{3}$$