-12x^2 -7x +6=0
What is the value of the discriminant?
Does the equation have 2 imaginary solutions, one real solution, or 2 real solutions?

Question

-12x^2 -7x +6=0 
What is the value of the discriminant? 
Does the equation have 2 imaginary solutions, one real solution, or 2 real solutions?

chaise · Answer

Two real solutions. Do you need me to explain how I know?

anonymous · Answer

Yes please :)

anonymous · Answer

& do you know the value of the discriminant

chaise · Answer

I don't know what a discriminant is. 

When we solve this equation we use the quadratic formula. I hope you know what this is.

When we use the formula we use a square root in the formula. The square root of a NEGATIVE number is IMAGINARY.

$$\sqrt{B^2+4ac}$$

When we plug in a, b and c, if we get a POSITIVE NUMBER, the solution is real. If it is negative, we get a IMAGINARY NUMBER.

Let's go ahead and plug in the number

sqrt(-7^2 + 4 x -12 +6)
sqrt (49 -48 + 6)
sqrt(7)

So this number is POSITIVE AND THEREFORE the solution is REAL.

I hope this makes sense and I have helped. Let me know if you need further help.

anonymous · Answer

Definitely helpful. Thank you :)