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Find the discriminant.\newline2x2−9x−8=02x^2 - 9x - 8 = 0

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Full solution

Q. Find the discriminant.\newline2x2−9x−8=02x^2 - 9x - 8 = 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 2x2−9x−8=02x^2 - 9x - 8 = 0, the coefficients are:\newlinea = 22\newlineb = −9-9\newlinec = −8-8
  2. Calculate discriminant: Calculate the discriminant using the formula D=b2−4acD = b^2 - 4ac. Substitute the identified values into the formula: D=(−9)2−4×2×(−8)D = (-9)^2 - 4 \times 2 \times (-8)
  3. Perform calculations: Perform the calculations to find the value of the discriminant.\newlineD=81−(−64)D = 81 - (-64)\newlineD=81+64D = 81 + 64\newlineD=145D = 145

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