what is the value of discriminant for the quadratic equation x²-2x-3=0​

2 thoughts on “what is the value of discriminant for the quadratic equation x²-2x-3=0​”

1. Answer :-

   Given :-

   • Quadratic equation : x²-2x-3=0

   To Find :-

   • Discriminant

   Solution :-

   We know that,

   [tex]\implies\sf Discriminant = b^2 – 4ac [/tex]

   For the given equation :-

   • a = 1
   • b = -2
   • c = -3

   Substituting the values :-

   [tex]\implies\sf D = b^2 – 4ac[/tex]

   [tex]\implies\sf D = (-2)^2 – 4 \times 1 \times ( – 3 )[/tex]

   [tex]\implies\sf D = 4 + 12[/tex]

   [tex]\implies\sf D = 16[/tex]

   Value of Discriminant = 16

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2. Given

   • equation x²-2x-3=0​

   To find

   • The value of discriminant.

   Answer

   The value of discriminant is -16.

   Solution

   On comparing the given equation with x² + bx + c = 0

   Here, a = x , b = -2 and c = -3

   D(discriminant) = b² – 4ac

   D = (-2)² – 4 × x × 3

   D = -4 – 12

   D = -16

   ∴Hence, The value of discriminant is -16.

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