Impara online a risolvere i problemi di equazioni quadratiche passo dopo passo. Solve the quadratic equation 17r+r^2=-52. Applicare la formula: x^2+bx=x^2+bx+\left(\frac{b}{2}\right)^2-\left(\frac{b}{2}\right)^2, dove b=17, bx=17r, x=r, x^2+bx=17r+r^2 e x^2=r^2. Applicare la formula: x^2+bx+f+g=\left(x+\sqrt{f}sign\left(b\right)\right)^2+g, dove b=17, bx=17r, f=\frac{289}{4}, g=- \frac{289}{4}, x=r, x^2+bx=r^2+17r+\frac{289}{4}- \frac{289}{4} e x^2=r^2. Applicare la formula: \frac{a}{b}c=\frac{ca}{b}, dove a=289, b=4, c=-1, a/b=\frac{289}{4} e ca/b=- \frac{289}{4}. Applicare la formula: x+a=b\to x+a-a=b-a, dove a=-\frac{289}{4}, b=-52, x+a=b=\left(r+\frac{17}{2}\right)^2-\frac{289}{4}=-52, x=\left(r+\frac{17}{2}\right)^2 e x+a=\left(r+\frac{17}{2}\right)^2-\frac{289}{4}.

Solve the quadratic equation 17r+r^2=-52