The roots of the equation 7x^2 +x-1=0 are: real and distinct
real and equal
not real
none of these

Correct option: First one -> real and distinct.

Step-by-step explanation:

To evaluate the roots of the equation 7x^2 + x - 1 = 0, lets find the discriminant Delta using the Bhaskara's formula:

Where a, b and c are coefficients of the quadratic equation (in this case, a = 7, b = 1 and c = -1)

So we have that:

To evaluate the roots of the equation, we have the following cases:

: Two roots real and distinct

: Two roots real and equal

: Two roots not real

In our case, we have , so the roots are real and distinct.

Correct option: First one

step-by-step explanation: