Question

What is the number of real solutions?
6x^2 – 7x – 1 = 0

two solutions
cannot be determined
one solution
no real solutions

Answer 1

Find the discriminant.
\[\text{ If you have } ax^2+bx+c=0 \text{ , then the discriminant is equal to } D= b^2-4ac .\]
If D=0, then one real solution (with multiplicity 2)
If D=negative real number, then no real solutions.
If D=positive real number, then 2 real solutions.

Answer 2

I got a dismals and i think its A.

Answer 3

but i wanna make sure i got it right,im struggling with math

Answer 4

I don't know what dismals mean but yes D would be a positive real number which implies 2 real solutions.
You have a=6,b=-7,c=-1
You put these in the formula I gave above for the discriminant.

Answer 5

Tip: when "a" and "c" are of opposite signs, you will always have real solutions.