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Find the discriminant.\newline5p2+8p+6=05p^2 + 8p + 6 = 0

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Full solution

Q. Find the discriminant.\newline5p2+8p+6=05p^2 + 8p + 6 = 0
  1. Identify coefficients: Identify the coefficients aa, bb, and cc from the quadratic equation 5p2+8p+6=05p^2 + 8p + 6 = 0 by comparing it to the standard form ax2+bx+c=0ax^2 + bx + c = 0. Here, a=5a = 5, b=8b = 8, and c=6c = 6.
  2. Recall formula for discriminant: 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 into the discriminant formula: D=82−4×5×6D = 8^2 - 4 \times 5 \times 6.
  4. Calculate discriminant: Calculate the discriminant: D=64−4×5×6D = 64 - 4 \times 5 \times 6.
  5. Continue calculation: Continue the calculation: D=64−120D = 64 - 120.
  6. Finish calculation: Finish the calculation to find the discriminant: D=−56D = -56.

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