Question

Can you give me the steps to the answer?
How many real number solutions are there to the equation 0 = –3x² + x – 4?
0
1
2
3

Answer 1

what is the surd?

b^2-4ac
1-(-3*(-4)=1-12=0-11 which means in the quadratic equation

x= (-b +-sqrt(b^2-4ac))/2a

you have two complex solutions, ie
-+sqrt(-11) in the solutions.

zero real solutions.

Answer 2

Thank you but what does 'surd' mean?

Answer 3

http://www.mathsisfun.com/surds.html

Answer 4

You may be more familiar with the term "discriminant."

The discriminant is b^2-4ac, the value inside the square root symbol.

So, in this case, the surd being considered is the square root of the discriminant.

Answer 5

Yes, thanks.