Question

Sum of the roots of quadratic equation 4x2-1 = 0  is ​

Answer 1

Answer:

The given quadratic equation:

x^{2}x

2

- 4x + 2 = 0

Here, a = 1, b = - 4 and c = 2

Let the two roots of the equation = α and β

We know that,

The sum of roots,

α + β = -\dfrac{b}{a}−

a

b

= -\dfrac{-4}{2}−

2

−4

= 2

and,

The product of roots, α.β = \dfrac{c}{a}

a

c

= \dfrac{2}{1} =2

1

2

=2

∴ The sum of roots = The product of roots = 2