Impara online a risolvere i problemi di completare il quadrato passo dopo passo. 2x^2+11x+40. Applicare la formula: ax^2+bx+c=a\left(x^2+\frac{b}{a}x+\frac{c}{a}\right), dove a=2, b=11 e c=40. 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=2, b=\frac{11}{2}x e c=20. 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=2, b=\frac{11}{2}x, c=20, x^2+b=x^2+\frac{11}{2}x+20+\frac{121}{16}-\frac{121}{16}, f=\frac{121}{16} e g=-\frac{121}{16}. Applicare la formula: \frac{a}{b}+c=\frac{a+cb}{b}, dove a/b+c=\left(x+\frac{11}{4}\right)^2+20-\frac{121}{16}, a=-121, b=16, c=20 e a/b=-\frac{121}{16}.

2x^2+11x+40