Home Forums Math What is the discriminant of 9x^2 + 2 = 10x?

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    ProtonsTalk
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      What is the discriminant of 9x2 + 2 = 10x?

      • This topic was modified 2 years, 1 month ago by ProtonsTalk.
      • This topic was modified 2 years, 1 month ago by ProtonsTalk.
      • This topic was modified 2 years, 1 month ago by ProtonsTalk.
      • This topic was modified 1 year, 8 months ago by ProtonsTalk.
      #20782
      ProtonsTalk
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        Discriminant of 9x2 + 2 = 10x is 28

        Solution:

        Discriminant of a quadratic equation ax2 + bx + c is

        => b2 – 4ac

        Given equation is 9x2 + 2 = 10x

        Moving 10x to the left we get

        => 9x2 – 10x + 2 = 0

        Comparing with general form of equation

        => a = 9, b = -10, c=2;

        Substituting into the discriminant formula, we get

        => (-10)2 – 4(9)(2)

        => 100 – 72

        => 28

        So, the discriminant of 9x2 + 2 = 10x is 28

        • This reply was modified 1 year, 8 months ago by ProtonsTalk.
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