Question

worksheet 16 10th class maths in English
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Answer 1

Given:

The quadratic equation 2x²-5x-3 = 0

To find:

a) The discriminant of the equation

b) Nature of the roots

c) The roots of the equation

Calculation:

We know that discriminant is given by the formula

    Δ = b²-4ac

    Δ = (-5)² - 4(2)(-3)

    Δ = 25 + 24

    Δ = 49

The discriminant of the equation is Δ = 49

As Δ>0, the equation will have two real roots

  2x²-5x-3 = 0

  2x²-6x+x-3 = 0

  2x(x-3)+1(x-3) = 0

  (2x+1)(x-3) = 0

  x=-1/2 , x=3

The roots of the equation are -1/2, 3