Science, asked by KhwaishManni, 8 hours ago

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Answers

Answered by tharashaiba6663
1

Explanation:

Answer :

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Learn this xD

m = -24

Step-by-step explanation :

α and β are the roots of x² + 5x + m = 0

            x² coefficient = 1

            x coefficient = 5

           constant term = m

      RELATIONSHIP BETWEEN ZEROES AND COEFFICIENTS :

       ⇒ Sum of zeroes = -(x coefficient)/x² coefficient

                 α + β = -5/1

                  α + β = -5

       ⇒ Product of zeroes = (constant term)/x² coefficient

                       α × β = m/1

                          αβ = m

     2α + 5β = -1

             2α + 2β + 3β = -1

             2(α + β) + 3β = -1

              2(-5) + 3β = -1

                -10 + 3β = -1

                 3β = 10 - 1

                   3β = 9

                   β = 9/3

                    β = 3

⇒ α + β = -5

    α + 3 = -5

    α = -5 - 3

    α = -8

  We got, αβ = m

         m = α × β

         m = (-8) × 3

         m = -24

∴ The value of m is -24

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