Impara online a risolvere i problemi di completare il quadrato passo dopo passo. Solve the inequality 6x^2+7x+3>0. Applicare la formula: ax^2+bx+c=a\left(x^2+\frac{b}{a}x+\frac{c}{a}\right), dove a=6, b=7 e c=3. 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{7}{6}x e c=\frac{1}{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{7}{6}x, c=\frac{1}{2}, x^2+b=x^2+\frac{7}{6}x+\frac{1}{2}+\frac{49}{144}-\frac{49}{144}, f=\frac{49}{144} e g=-\frac{49}{144}. Applicare la formula: ax>b=x>\frac{b}{a}, dove a=6, b=0 e x=\left(x+\frac{7}{12}\right)^2+\frac{1}{2}-\frac{49}{144}.

Solve the inequality 6x^2+7x+3>0