Impara online a risolvere i problemi di passo dopo passo. Solve the inequality 6x^2+16x+27>0. Applicare la formula: ax^2+bx+c=a\left(x^2+\frac{b}{a}x+\frac{c}{a}\right), dove a=6, b=16 e c=27. Applicare la formula: a\left(x^2+b+c\right)=a\left(x^2+b+c+\left(\frac{coef\left(b\right)}{2}\right)^2-\left(\frac{coef\left(b\right)}{2}\right)^2\right), dove a=6, b=\frac{8}{3}x e c=\frac{9}{2}. Applicare la formula: a\left(x^2+b+c+f+g\right)=a\left(\left(x+\sqrt{f}sign\left(b\right)\right)^2+c+g\right), dove a=6, b=\frac{8}{3}x, c=\frac{9}{2}, x^2+b=x^2+\frac{8}{3}x+\frac{9}{2}+\frac{16}{9}-\frac{16}{9}, f=\frac{16}{9} e g=-\frac{16}{9}. Applicare la formula: ax>b=x>\frac{b}{a}, dove a=6, b=0 e x=\left(x+\frac{4}{3}\right)^2+\frac{9}{2}-\frac{16}{9}.

Solve the inequality 6x^2+16x+27>0