Identify coefficients: Identify the coefficients a, b, and c from the quadratic equation in the form ax2+bx+c=0. For the equation 2t2+4t+2=0, we have: a=2b=4c=2
Recall discriminant formula: Recall the formula for the discriminant of a quadratic equation, which is D=b2−4ac.
Substitute values into formula: Substitute the identified values of a, b, and c into the discriminant formula.D=42−4×2×2
Calculate discriminant: Perform the calculations to find the value of the discriminant.D=16−4×2×2D=16−16D=0