Impara online a risolvere i problemi di equazioni quadratiche passo dopo passo. Solve the quadratic equation x^2+13x=-40. Applicare la formula: x^2+bx=x^2+bx+\left(\frac{b}{2}\right)^2-\left(\frac{b}{2}\right)^2, dove b=13, bx=13x e x^2+bx=x^2+13x. Applicare la formula: x^2+bx+f+g=\left(x+\sqrt{f}sign\left(b\right)\right)^2+g, dove b=13, bx=13x, f=\frac{169}{4}, g=- \frac{169}{4} e x^2+bx=x^2+13x+\frac{169}{4}- \frac{169}{4}. Applicare la formula: \frac{a}{b}c=\frac{ca}{b}, dove a=169, b=4, c=-1, a/b=\frac{169}{4} e ca/b=- \frac{169}{4}. Applicare la formula: x+a=b\to x+a-a=b-a, dove a=-\frac{169}{4}, b=-40, x+a=b=\left(x+\frac{13}{2}\right)^2-\frac{169}{4}=-40, x=\left(x+\frac{13}{2}\right)^2 e x+a=\left(x+\frac{13}{2}\right)^2-\frac{169}{4}.

Solve the quadratic equation x^2+13x=-40