Question

The roots of the equation 3x^2+7x+5=0 will be :
2 points
Equal
Rational
Irrational
Not real

Answer 1

Correct option is

D

1,2

Given equation 6x

2

−7x+k=0

For rational roots D≥0 and D must be perfect square.

D=49−24k

Now, we will check the values of k which satisfies above inequality

Option A, gives D=73>0 but not perfect square.

Option B is incorrect as already k



=−1 in option A

Option C gives D=97>0 but not perfect square.

Option D, for k=1, D=25 and for k=2, D=1 which is a perfect square.

Hence, k=1,2