Discriminant of a quadratic equation with parameter:

7x^2-2x-h=0

This equation has one real solution.
Write your answer as an equality or inequality in terms of h.

Help me, please! :(

Question

Discriminant of a quadratic equation with parameter:

7x^2-2x-h=0

This equation has one real solution. 
Write your answer as an equality or inequality in terms of  h.

Help me, please! :(

anonymous · Answer

use the quadratic formula $$x=\frac{ -b \pm \sqrt{b^2-4ac} }{ 2a }$$
the discriminant is the value underneath the square root

anonymous · Answer

I got (-2)^2-4(7)(-h)=0

anonymous · Answer

And got -4/28?

anonymous · Answer

if there is one real answer then the discriminant has to be greater than or  equal to zero. In other words it cannot be a negative number.

anonymous · Answer

$$(-2)-4(7)h \ge 0$$

anonymous · Answer

oops forgot to square the 2 there and the negative on the h

anonymous · Answer

I take it back. It the answer is greater than 0 you would get two real answers but it it is equal to 0 then you get exactly 1