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Find the discriminant.\newline9r2+6r+1=09r^2 + 6r + 1 = 0

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Full solution

Q. Find the discriminant.\newline9r2+6r+1=09r^2 + 6r + 1 = 0
  1. Identify values: Identify the values of aa, bb, and cc by comparing the given equation 9r2+6r+1=09r^2 + 6r + 1 = 0 with the standard form of a quadratic equation ax2+bx+c=0ax^2 + bx + c = 0. For the given equation, a=9a = 9, b=6b = 6, and c=1c = 1.
  2. Calculate discriminant: Use the discriminant formula D=b2−4acD = b^2 - 4ac to calculate the discriminant of the quadratic equation.\newlineSubstitute the identified values into the formula: D=(6)2−4×9×1D = (6)^2 - 4 \times 9 \times 1.
  3. Perform calculations: Perform the calculations to find the value of the discriminant.\newlineD=36−4×9×1D = 36 - 4 \times 9 \times 1\newlineD=36−36D = 36 - 36\newlineD=0D = 0

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