D=(3x+8)(3x-8) eching

$$D = ( 3 x + 8 ) ( 3 x - 8 )$$

D uchun yechish

$$D=9x^{2}-64$$

Yechim qadamlari

Hisoblang: \left(3x+8\right)\left(3x-8\right). Ko‘paytirish qoida yordamida turli kvadratlarga aylantirilishi mumkin: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}. 8 kvadratini chiqarish.

$$D=\left(3x\right)^{2}-64$$

\left(3x\right)^{2} ni kengaytirish.

$$D=3^{2}x^{2}-64$$

2 daraja ko‘rsatkichini 3 ga hisoblang va 9 ni qiymatni oling.

$$D=9x^{2}-64$$

x uchun yechish (complex solution)

$$x=-\frac{\sqrt{D+64}}{3}$$

$$x=\frac{\sqrt{D+64}}{3}$$

x uchun yechish

$$x=-\frac{\sqrt{D+64}}{3}$$

$$x=\frac{\sqrt{D+64}}{3}\text{, }D\geq -64$$