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

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

Ebatzi: D

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

Ebazpidea

Kasurako: \left(3x+8\right)\left(3x-8\right). Biderketa karratuen desberdintasun bihur daiteke arau hau erabilita: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}. Egin 8 ber bi.

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

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

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

9 lortzeko, egin 3 ber 2.

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

Ebatzi: x (complex solution)

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

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

Ebatzi: x

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

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