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Find the discriminant.\newline6v29v+2=06v^2 - 9v + 2 = 0

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Q. Find the discriminant.\newline6v29v+2=06v^2 - 9v + 2 = 0
  1. Identify coefficients: Identify the coefficients of the quadratic equation.\newlineThe quadratic equation is in the form av2+bv+c=0av^2 + bv + c = 0. For the equation 6v29v+2=06v^2 - 9v + 2 = 0, the coefficients are:\newlinea = 66\newlineb = 9-9\newlinec = 22
  2. Calculate discriminant: Calculate the discriminant using the formula D=b24acD = b^2 - 4ac.\newlineSubstitute the identified values into the discriminant formula:\newlineD=(9)24×6×2D = (-9)^2 - 4 \times 6 \times 2
  3. Perform calculations: Perform the calculations to find the value of the discriminant.\newlineD=81(4×6×2)D = 81 - (4 \times 6 \times 2)\newlineD=8148D = 81 - 48\newlineD=33D = 33

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