Determine the type and number of solutions of −4x2 − 3x + 7 = 0. two real solutions

two imaginary solutions

one real solution and one imaginary solution

one real solution

Step-by-step explanation:

You have to use the discriminant for this. If the quadratic is , then

a = -4, b = -3, and c = 7. The formula for finding the discriminant is

which comes from the quadratic formula, but without the square root sign. Filling in:

which simplifies down to

D = 9 + 112 so

D = 121. This is a perfect square, so the solutions will be 2 real. Just so you know, you will NEVER have a solution like the one offered in the third choice down. If you have one imaginary root, you will ALWAYS have a second by the conjugate rule.

3

step-by-step explanation: