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Find the discriminant.\newline9w2+7w+8=09w^2 + 7w + 8 = 0

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Full solution

Q. Find the discriminant.\newline9w2+7w+8=09w^2 + 7w + 8 = 0
  1. Identify coefficients: Identify the coefficients of the quadratic equation.\newlineThe quadratic equation is in the form aw2+bw+c=0aw^2 + bw + c = 0. For the equation 9w2+7w+8=09w^2 + 7w + 8 = 0, the coefficients are:\newlinea = 99\newlineb = 77\newlinec = 88
  2. Calculate discriminant: Calculate the discriminant using the formula D=b2−4acD = b^2 - 4ac. Substitute the identified values into the formula: D=(7)2−4×9×8D = (7)^2 - 4 \times 9 \times 8
  3. Perform calculations: Perform the calculations to find the value of the discriminant.\newlineD=49−4×9×8D = 49 - 4 \times 9 \times 8\newlineD=49−288D = 49 - 288
  4. Complete calculation: Complete the calculation to find the final value of the discriminant. \newlineD=49−288D = 49 - 288\newlineD=−239D = -239

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