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Find the discriminant.\newline2x2+4x+2=02x^2 + 4x + 2 = 0

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Full solution

Q. Find the discriminant.\newline2x2+4x+2=02x^2 + 4x + 2 = 0
  1. Identify coefficients: Identify the coefficients aa, bb, and cc from the quadratic equation 2x2+4x+2=02x^2 + 4x + 2 = 0 by comparing it to the standard form ax2+bx+c=0ax^2 + bx + c = 0.
    a=2a = 2
    b=4b = 4
    c=2c = 2
  2. Recall discriminant formula: Recall the formula for the discriminant of a quadratic equation, which is D=b2−4acD = b^2 - 4ac.
  3. Substitute values: Substitute the identified values of aa, bb, and cc into the discriminant formula.\newlineD=42−4×2×2D = 4^2 - 4 \times 2 \times 2
  4. Calculate discriminant: Calculate the discriminant using the substituted values.\newlineD=16−4×2×2D = 16 - 4 \times 2 \times 2\newlineD=16−16D = 16 - 16\newlineD=0D = 0

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