Question

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

Answer 1

Given:

The given equation is

$4x^2+x+7=0$

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.