Compute the discriminant. Then determine the number and type of solutions for the give equation4x^2+x+7=0

Given:
The given equation is
[tex]4x^2+x+7=0[/tex]Find:
we have to find the discriminant and determine the number and type of solution.
Explanation:
The discriminant of the quadratic equation ax² + bx + c = 0 is
D = b² - 4ac.
Therefore, the discriminant of 4x² + x + 7 = 0 is
D = (1)² - 4(4)(7) = 1 - 112 = -111
Therefore, Discriminant = -111
Now D = -111 < 0
That means D < 0
Therefore, The given equation has "two imaginary solution"
So, B is the correct option.