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Two equations are given: A: and B: .
Which has the larger discriminant?

Class 10The Quadratic FormulaAlgebra — Quadratics
  • AA, whose D = 33; B has D = 24
  • BA, whose D = 17; B has D = 8
  • CBoth have the same discriminant
  • DB, whose D = 24; A has D = 17

Step-by-Step Solution

A: D = 25 - 4(2)(1) = 25 - 8 = 17. B: D = 16 - 4(1)(-2) = 16 + 8 = 24. Since 24 > 17, B has the larger discriminant. Both are positive but neither is a perfect square, so both equations have irrational roots.
Answer: D) B, whose D = 24; A has D = 17

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