Impara online a risolvere i problemi di completare il quadrato passo dopo passo. 20m^2-9m+-20. Applicare la formula: ax^2+bx+c=a\left(x^2+\frac{b}{a}x+\frac{c}{a}\right), dove a=20, b=-9, c=-20 e x=m. 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=20, b=-\frac{9}{20}m, c=-1 e x=m. 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=20, b=-\frac{9}{20}m, c=-1, x^2+b=m^2-\frac{9}{20}m-1+\frac{81}{1600}-\frac{81}{1600}, f=\frac{81}{1600}, g=-\frac{81}{1600}, x=m e x^2=m^2. Applicare la formula: \frac{a}{b}+c=\frac{a+cb}{b}, dove a/b+c=\left(m- \frac{9}{40}\right)^2-1-\frac{81}{1600}, a=-81, b=1600, c=-1 e a/b=-\frac{81}{1600}.

20m^2-9m+-20