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Find the discriminant.\newline6q2+6q+9=06q^2 + 6q + 9 = 0

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Full solution

Q. Find the discriminant.\newline6q2+6q+9=06q^2 + 6q + 9 = 0
  1. Identify coefficients: Identify the coefficients of the quadratic equation.\newlineThe quadratic equation is in the form ax2+bx+c=0ax^2 + bx + c = 0. For the equation 6q2+6q+9=06q^2 + 6q + 9 = 0, the coefficients are:\newlinea = 66\newlineb = 66\newlinec = 99
  2. Calculate discriminant: Calculate the discriminant using the formula D=b2−4acD = b^2 - 4ac.\newlineSubstitute the identified values into the formula:\newlineD=(6)2−4×6×9D = (6)^2 - 4 \times 6 \times 9
  3. Perform calculations: Perform the calculations to find the value of the discriminant.\newlineD=36−4×6×9D = 36 - 4 \times 6 \times 9\newlineD=36−216D = 36 - 216
  4. Complete calculation: Complete the calculation to find the final value of the discriminant.\newlineD=36−216D = 36 - 216\newlineD=−180D = -180

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