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Find the discriminant.\newline3q2+8q−2=03q^2 + 8q - 2 = 0

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Full solution

Q. Find the discriminant.\newline3q2+8q−2=03q^2 + 8q - 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 3q2+8q−2=03q^2 + 8q - 2 = 0, the coefficients are:\newlinea = 33\newlineb = 88\newlinec = −2-2
  2. Calculate discriminant: Calculate the discriminant using the formula D=b2−4acD = b^2 - 4ac. Substitute the values of aa, bb, and cc into the formula to find the discriminant. D=(8)2−4×3×(−2)D = (8)^2 - 4 \times 3 \times (-2)
  3. Perform calculations: Perform the calculations to determine the value of the discriminant.\newlineD=64−(−24)D = 64 - (-24)\newlineD=64+24D = 64 + 24\newlineD=88D = 88

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