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Find the discriminant.\newline4q2−2q+4=04q^2 - 2q + 4 = 0

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Full solution

Q. Find the discriminant.\newline4q2−2q+4=04q^2 - 2q + 4 = 0
  1. Identify values of aa, bb, cc: Identify the values of aa, bb, and cc from the quadratic equation in the form ax2+bx+c=0ax^2 + bx + c = 0. Comparing 4q2−2q+4=04q^2 - 2q + 4 = 0 with ax2+bx+c=0ax^2 + bx + c = 0, we find: a=4a = 4 bb00 bb11
  2. Use discriminant formula: Use the discriminant formula D=b2−4acD = b^2 - 4ac to find the discriminant of the quadratic equation.\newlineSubstitute 44 for aa, −2-2 for bb, and 44 for cc into the formula.\newlineD=(−2)2−4×4×4D = (-2)^2 - 4 \times 4 \times 4
  3. Calculate the discriminant: Calculate the discriminant.\newlineD=(−2)2−4×4×4D = (-2)^2 - 4 \times 4 \times 4\newlineD=4−64D = 4 - 64\newlineD=−60D = -60

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