Answer:
Step-by-step explanation:
You have to use the discriminant for this. If the quadratic is [tex]-4x^2-3x+7[/tex], then
a = -4, b = -3, and c = 7. The formula for finding the discriminant is
[tex]D=b^2-4ac[/tex] which comes from the quadratic formula, but without the square root sign. Filling in:
[tex]D=(-3)^2-4(-4)(7)[/tex] 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.
