The quadratic equation whose roots are 2 and \(-\frac{1}{2}\) is :

Question

Question

This question was previously asked in

RRB Group D 9 Sept 2022 Shift 3 Official Paper

Answer 1

Given:

Quadratic roots are 2 and \(-\frac{1}{2}\)

Formula used:

Sum of the roots

Product of roots

Calculation:

Let the roots be m and n

According to the question,

m = 2 and n = \(-\frac{1}{2}\)

Now, sum of roots = m + n = 2 + (\(-\frac{1}{2}\) )

sum of roots = \(3\over2\)

Product of roots = mn = 2 × \(-\frac{1}{2}\)

Product of roots = - 1

Now, put the values in the quadratic equation formula,

x2 - (m + n)x + mn = 0

x2 - \(3\over2\)x - 1 = 0

On solving we get,

2x2 - 3x - 2 = 0

Hence, this is the correct option 2x2 - 3x - 2 = 0.