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Hey there!
The formula for the discriminant is represented by b²-4ac.
We need to identify the values for a, b, and c.
This equation is in general form, which is ax² + bx + c = 0.
So, a = -2, b = -1, and c = -1.
Plug the values into the formula.
(-1)²-4(-2)(-1)
Square.
1-4(-2)(-1)
Multiply.
1-4(2)
1-8
Subtract.
-7
The discriminant is -7.
This means there are no real solutions to the equation, because the discriminant is negative.
Hope this helps!