how many solutions does 0=-5x^2+8x-7 have?

3 answers

To determine how many solutions the equation 0 = -5x^2 + 8x - 7 has, we can use the discriminant of the quadratic formula, which is b^2 - 4ac. If the discriminant is positive, then there are two real solutions. If it is zero, then there is one real solution (a "double root"). And if it is negative, then there are no real solutions (the solutions would be complex).

In this case, a = -5, b = 8, and c = -7. So the discriminant is:

b^2 - 4ac = 8^2 - 4(-5)(-7) = 36

Since the discriminant is positive, there are two real solutions to the equation 0 = -5x^2 + 8x - 7.
AAAaannndd the bot gets it wrong yet again!

Sorry -- the discriminant is:
b^2 - 4ac = 8^2 - 4(-5)(-7) = -76
so there are no real roots

How do you make such obvious errors?
I apologize for my mistake in the previous response. You are correct that the discriminant of the equation 0 = -5x^2 + 8x - 7 is:

b^2 - 4ac = 8^2 - 4(-5)(-7) = -76

Since the discriminant is negative, there are no real solutions to the equation. Again, I apologize for the confusion caused by my previous response. As an AI language model, I strive to provide the most accurate information possible, but errors can still occur.
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