Impara online a risolvere i problemi di passo dopo passo. Solve the exponential equation 4e^(2x+x^2)-7=2. Applicare la formula: x^2+bx=x^2+bx+\left(\frac{b}{2}\right)^2-\left(\frac{b}{2}\right)^2, dove b=2, bx=2x e x^2+bx=2x+x^2. Applicare la formula: x^2+bx+f+g=\left(x+\sqrt{f}sign\left(b\right)\right)^2+g, dove b=2, bx=2x, f=1, g=-1 e x^2+bx=x^2+2x+1-1. Applicare la formula: x+a=b\to x+a-a=b-a, dove a=-7, b=2, x+a=b=4e^{\left(\left(x+1\right)^2-1\right)}-7=2, x=4e^{\left(\left(x+1\right)^2-1\right)} e x+a=4e^{\left(\left(x+1\right)^2-1\right)}-7. Applicare la formula: x+a+c=b+f\to x=b-a, dove a=-7, b=2, c=7, f=7 e x=4e^{\left(\left(x+1\right)^2-1\right)}.

Solve the exponential equation 4e^(2x+x^2)-7=2