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