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Find the discriminant.\newline9v2−5v−9=09v^2 - 5v - 9 = 0

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Full solution

Q. Find the discriminant.\newline9v2−5v−9=09v^2 - 5v - 9 = 0
  1. Identify coefficients: Identify the coefficients aa, bb, and cc from the quadratic equation in the form ax2+bx+c=0ax^2 + bx + c = 0. For the equation 9v2−5v−9=09v^2 - 5v - 9 = 0, we have: a=9a = 9 b=−5b = -5 c=−9c = -9
  2. Recall discriminant formula: Recall the formula for the discriminant of a quadratic equation, which is D=b2−4acD = b^2 - 4ac.
  3. Substitute values into formula: Substitute the identified values of aa, bb, and cc into the discriminant formula.D=(−5)2−4×9×(−9)D = (-5)^2 - 4 \times 9 \times (-9)
  4. Calculate discriminant: Calculate the discriminant using the substituted values.\newlineD=25−4×9×(−9)D = 25 - 4 \times 9 \times (-9)\newlineD=25+324D = 25 + 324\newlineD=349D = 349

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