Answer:
Step-by-step explanation:
The discriminant is found in
[tex]b^2-4ac[/tex] which is part of the quadratic formula. In
[tex]4x^2+10x-16=0[/tex], a = 4, b = 10, c = -16. Filling in for the discriminant:
[tex]10^2-4(4)(-16)=100+256=356[/tex]
It's positive so we know we have real roots; it's not a perfect square, so our solutions are 2 complex rational.
In [tex]-16x^2-7x+3=0[/tex], a = -16, b = -7, c = 3. Filling in for the discriminant:
[tex](-7)^2-4(-16)(3)=49+192=241[/tex]
It's positive and not a perfect square so the 2 solutions are complex rational
