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Find the discriminant.\newline5z2+2z+3=05z^2 + 2z + 3 = 0

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Full solution

Q. Find the discriminant.\newline5z2+2z+3=05z^2 + 2z + 3 = 0
  1. Identify values: Identify the values of aa, bb, and cc in the quadratic equation 5z2+2z+3=05z^2 + 2z + 3 = 0 by comparing it to the standard form ax2+bx+c=0ax^2 + bx + c = 0.\newlinea=5a = 5\newlineb=2b = 2\newlinec=3c = 3
  2. Calculate discriminant: Calculate the discriminant using the formula D=b2−4acD = b^2 - 4ac.\newlineSubstitute the identified values into the formula:\newlineD=22−4×5×3D = 2^2 - 4 \times 5 \times 3
  3. Perform calculations: Perform the calculations to find the value of the discriminant. \newlineD=4−4×5×3D = 4 - 4 \times 5 \times 3\newlineD=4−60D = 4 - 60\newlineD=−56D = -56

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