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Find the discriminant.\newline2q2+7q+2=02q^2 + 7q + 2 = 0

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Full solution

Q. Find the discriminant.\newline2q2+7q+2=02q^2 + 7q + 2 = 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 2q2+7q+2=02q^2 + 7q + 2 = 0, the coefficients are:\newlinea=2a = 2\newlineb=7b = 7\newlinec=2c = 2
  2. Calculate discriminant: Calculate the discriminant using the formula D=b2−4acD = b^2 - 4ac. Substitute the identified values into the discriminant formula: D=(7)2−4×2×2D = (7)^2 - 4 \times 2 \times 2
  3. Perform calculations: Perform the calculations to find the value of the discriminant.\newlineD=49−4×2×2D = 49 - 4 \times 2 \times 2\newlineD=49−16D = 49 - 16\newlineD=33D = 33

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