Impara online a risolvere i problemi di passo dopo passo. Solve the quadratic equation z^2-14z=72. Applicare la formula: x^2+bx=x^2+bx+\left(\frac{b}{2}\right)^2-\left(\frac{b}{2}\right)^2, dove b=-14, bx=-14z, x=z, x^2+bx=z^2-14z e x^2=z^2. Applicare la formula: x^2+bx+f+g=\left(x+\sqrt{f}sign\left(b\right)\right)^2+g, dove b=-14, bx=-14z, f=49, g=-49, x=z, x^2+bx=z^2-14z+49-49 e x^2=z^2. Applicare la formula: x+a=b\to x+a-a=b-a, dove a=-49, b=72, x+a=b=\left(z-7\right)^2-49=72, x=\left(z-7\right)^2 e x+a=\left(z-7\right)^2-49. Applicare la formula: x+a+c=b+f\to x=b-a, dove a=-49, b=72, c=49, f=49 e x=\left(z-7\right)^2.