The quadratic equation which has real and equal roots \(\frac{3}{5}\) is :

Question

Question

This question was previously asked in

RRB Group D 9 Sept 2022 Shift 3 Official Paper

Answer 1

Given:

Quadratic equation have real and equal roots

Calculation:

Let the roots be m and n

According to the question,

m = \(\frac{3}{5}\), and n = \(\frac{3}{5}\)

Now, sum of roots = m + n = \(\frac{3}{5}\) + \(\frac{3}{5}\)

sum of roots =\(6\over5\)

Product of roots = mn = \(\frac{3}{5}\) * \(\frac{3}{5}\)

Product of roots = \(9\over25\)

Now, put the values in the quadratic equation formula,

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

x2 - \(6\over5\)x + \(9\over25\) = 0

On solving we get,

25x2 - 30x + 9 = 0

25x2 - 30x + 9 = 0

Hence, the quadratic equation will be '25x2 - 30x + 9 = 0'.