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Solve for the discriminant of the ff. quadratic equations and determine the
nature of the roots. (plss po patulong need lng po)

Solve For The Discriminant Of The Ff Quadratic Equations And Determine The Nature Of The Roots Plss Po Patulong Need Lng Po class=

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HAMZUIGO

Answer

Value of the Discriminant

1. 3x²-x-2=0

  • [tex]b {}^{2} - 4ac[/tex]
  • [tex]( - 1) {}^{2} - 4(3)( - 2)[/tex]
  • [tex]1 - 24[/tex]
  • [tex] - 23[/tex]

The discriminant is -23.

2. x²-4x+5=0

  • [tex]b {}^{2} - 4ac[/tex]
  • [tex] {( - 4)}^{2} - 4(1)(5)[/tex]
  • [tex]16 - 20[/tex]
  • [tex] - 4[/tex]

The discriminant is -4.

3. x²-4x=1

  • [tex]b {}^{2} - 4ac[/tex]
  • [tex] {( - 4)}^{2} - 4(1)( - 1)[/tex]
  • [tex]16 + 4[/tex]
  • [tex]20[/tex]

The discriminant is 20.

4. x²-16=8x

  • [tex]b {}^{2} - 4ac[/tex]
  • [tex] {( - 8)}^{2} - 4(1)( - 16)[/tex]
  • [tex]64 + 64[/tex]
  • [tex]128[/tex]

The discriminant is 128.

5. 2x²+x-15=0

  • [tex]b {}^{2} - 4ac[/tex]
  • [tex]1 {}^{2} - 4(2)( - 15)[/tex]
  • [tex]1 + 120[/tex]
  • [tex]121[/tex]

The discriminant is 121.

Nature of the Roots

  1. No real roots
  2. No real roots
  3. The roots are irrational and not equal
  4. The roots are irrational and not equal
  5. The roots are rational but not equal

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