Impara online a risolvere i problemi di completare il quadrato passo dopo passo. Solve the equation y=15x^2-2x+40. Applicare la formula: ax^2+bx+c=a\left(x^2+\frac{b}{a}x+\frac{c}{a}\right), dove a=15, b=-2 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=15, b=-\frac{2}{15}x e c=\frac{8}{3}. 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=15, b=-\frac{2}{15}x, c=\frac{8}{3}, x^2+b=x^2-\frac{2}{15}x+\frac{8}{3}+\frac{1}{225}-\frac{1}{225}, f=\frac{1}{225} e g=-\frac{1}{225}. Applicare la formula: \frac{a}{b}c=\frac{ca}{b}, dove a=1, b=15, c=-1, a/b=\frac{1}{15} e ca/b=- \frac{1}{15}.

Solve the equation y=15x^2-2x+40